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Finding the Fourth Proportional to 520,084.90, 780,127.35 and 462,024.10

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Solution

The fourth proportional to 520,084.90, 780,127.35 and 462,024.10 is: 693,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,084.90 : 780,127.35 = 462,024.10 : x
  2. Step 2: Convert to fraction form
    520,084.90/780,127.35 = 462,024.10/x
  3. Step 3: Cross multiply
    520,084.90x = 780,127.35 × 462,024.10
  4. Step 4: Simplify right side
    520,084.90x = 360,437,636,769.14
  5. Step 5: Solve for x
    x = 360,437,636,769.14/520,084.90
  6. Step 6: Final answer
    x = 693,036.15

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