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Finding the Fourth Proportional to 539,914.60, 809,411.10 and 381,645.16

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Solution

The fourth proportional to 539,914.60, 809,411.10 and 381,645.16 is: 572,142.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,914.60 : 809,411.10 = 381,645.16 : x
  2. Step 2: Convert to fraction form
    539,914.60/809,411.10 = 381,645.16/x
  3. Step 3: Cross multiply
    539,914.60x = 809,411.10 × 381,645.16
  4. Step 4: Simplify right side
    539,914.60x = 308,907,828,765.28
  5. Step 5: Solve for x
    x = 308,907,828,765.28/539,914.60
  6. Step 6: Final answer
    x = 572,142.02

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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.