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Finding the Fourth Proportional to 519,213.40, 778,820.10 and 414,237.40

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Solution

The fourth proportional to 519,213.40, 778,820.10 and 414,237.40 is: 621,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,213.40 : 778,820.10 = 414,237.40 : x
  2. Step 2: Convert to fraction form
    519,213.40/778,820.10 = 414,237.40/x
  3. Step 3: Cross multiply
    519,213.40x = 778,820.10 × 414,237.40
  4. Step 4: Simplify right side
    519,213.40x = 322,616,413,291.74
  5. Step 5: Solve for x
    x = 322,616,413,291.74/519,213.40
  6. Step 6: Final answer
    x = 621,356.10

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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.