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Finding the Fourth Proportional to 539,892.96, 809,756.21 and 180,070.10

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Solution

The fourth proportional to 539,892.96, 809,756.21 and 180,070.10 is: 270,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,892.96 : 809,756.21 = 180,070.10 : x
  2. Step 2: Convert to fraction form
    539,892.96/809,756.21 = 180,070.10/x
  3. Step 3: Cross multiply
    539,892.96x = 809,756.21 × 180,070.10
  4. Step 4: Simplify right side
    539,892.96x = 145,812,881,710.32
  5. Step 5: Solve for x
    x = 145,812,881,710.32/539,892.96
  6. Step 6: Final answer
    x = 270,077.39

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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.