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Finding the Fourth Proportional to 762,598.10, 1,051,948.14 and 475,619.96

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Solution

The fourth proportional to 762,598.10, 1,051,948.14 and 475,619.96 is: 656,082.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,598.10 : 1,051,948.14 = 475,619.96 : x
  2. Step 2: Convert to fraction form
    762,598.10/1,051,948.14 = 475,619.96/x
  3. Step 3: Cross multiply
    762,598.10x = 1,051,948.14 × 475,619.96
  4. Step 4: Simplify right side
    762,598.10x = 500,327,532,268.87
  5. Step 5: Solve for x
    x = 500,327,532,268.87/762,598.10
  6. Step 6: Final answer
    x = 656,082.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.