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Finding the Fourth Proportional to 318,684.31, 478,037.90 and 108,294.91

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Solution

The fourth proportional to 318,684.31, 478,037.90 and 108,294.91 is: 162,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,684.31 : 478,037.90 = 108,294.91 : x
  2. Step 2: Convert to fraction form
    318,684.31/478,037.90 = 108,294.91/x
  3. Step 3: Cross multiply
    318,684.31x = 478,037.90 × 108,294.91
  4. Step 4: Simplify right side
    318,684.31x = 51,769,071,357.09
  5. Step 5: Solve for x
    x = 51,769,071,357.09/318,684.31
  6. Step 6: Final answer
    x = 162,446.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.