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Finding the Fourth Proportional to 517,002.56, 712,603.68 and 355,584.32

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Solution

The fourth proportional to 517,002.56, 712,603.68 and 355,584.32 is: 490,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,002.56 : 712,603.68 = 355,584.32 : x
  2. Step 2: Convert to fraction form
    517,002.56/712,603.68 = 355,584.32/x
  3. Step 3: Cross multiply
    517,002.56x = 712,603.68 × 355,584.32
  4. Step 4: Simplify right side
    517,002.56x = 253,390,694,982.30
  5. Step 5: Solve for x
    x = 253,390,694,982.30/517,002.56
  6. Step 6: Final answer
    x = 490,114.97

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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.