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Finding the Fourth Proportional to 519,114.90, 778,672.35 and 414,138.90

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Solution

The fourth proportional to 519,114.90, 778,672.35 and 414,138.90 is: 621,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,114.90 : 778,672.35 = 414,138.90 : x
  2. Step 2: Convert to fraction form
    519,114.90/778,672.35 = 414,138.90/x
  3. Step 3: Cross multiply
    519,114.90x = 778,672.35 × 414,138.90
  4. Step 4: Simplify right side
    519,114.90x = 322,478,510,489.42
  5. Step 5: Solve for x
    x = 322,478,510,489.42/519,114.90
  6. Step 6: Final answer
    x = 621,208.35

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.