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Finding the Fourth Proportional to 425,147, 586,729.48 and 234,160.32

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Solution

The fourth proportional to 425,147, 586,729.48 and 234,160.32 is: 323,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,147 : 586,729.48 = 234,160.32 : x
  2. Step 2: Convert to fraction form
    425,147/586,729.48 = 234,160.32/x
  3. Step 3: Cross multiply
    425,147x = 586,729.48 × 234,160.32
  4. Step 4: Simplify right side
    425,147x = 137,388,762,790.23
  5. Step 5: Solve for x
    x = 137,388,762,790.23/425,147
  6. Step 6: Final answer
    x = 323,155.90

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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.