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Finding the Fourth Proportional to 762,689.69, 1,052,251.08 and 435,768.13

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Solution

The fourth proportional to 762,689.69, 1,052,251.08 and 435,768.13 is: 601,211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,689.69 : 1,052,251.08 = 435,768.13 : x
  2. Step 2: Convert to fraction form
    762,689.69/1,052,251.08 = 435,768.13/x
  3. Step 3: Cross multiply
    762,689.69x = 1,052,251.08 × 435,768.13
  4. Step 4: Simplify right side
    762,689.69x = 458,537,485,103.26
  5. Step 5: Solve for x
    x = 458,537,485,103.26/762,689.69
  6. Step 6: Final answer
    x = 601,211.07

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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.