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Finding the Fourth Proportional to 519,134.40, 778,701.60 and 414,158.40

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Solution

The fourth proportional to 519,134.40, 778,701.60 and 414,158.40 is: 621,237.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,134.40 : 778,701.60 = 414,158.40 : x
  2. Step 2: Convert to fraction form
    519,134.40/778,701.60 = 414,158.40/x
  3. Step 3: Cross multiply
    519,134.40x = 778,701.60 × 414,158.40
  4. Step 4: Simplify right side
    519,134.40x = 322,505,808,733.44
  5. Step 5: Solve for x
    x = 322,505,808,733.44/519,134.40
  6. Step 6: Final answer
    x = 621,237.60

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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.