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Finding the Fourth Proportional to 520,065.10, 780,097.65 and 436,084.30

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Solution

The fourth proportional to 520,065.10, 780,097.65 and 436,084.30 is: 654,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,065.10 : 780,097.65 = 436,084.30 : x
  2. Step 2: Convert to fraction form
    520,065.10/780,097.65 = 436,084.30/x
  3. Step 3: Cross multiply
    520,065.10x = 780,097.65 × 436,084.30
  4. Step 4: Simplify right side
    520,065.10x = 340,188,337,631.90
  5. Step 5: Solve for x
    x = 340,188,337,631.90/520,065.10
  6. Step 6: Final answer
    x = 654,126.45

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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.