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Finding the Fourth Proportional to 458,964.50, 688,446.63 and 143,421.41

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Solution

The fourth proportional to 458,964.50, 688,446.63 and 143,421.41 is: 215,132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,964.50 : 688,446.63 = 143,421.41 : x
  2. Step 2: Convert to fraction form
    458,964.50/688,446.63 = 143,421.41/x
  3. Step 3: Cross multiply
    458,964.50x = 688,446.63 × 143,421.41
  4. Step 4: Simplify right side
    458,964.50x = 98,737,988,105.46
  5. Step 5: Solve for x
    x = 98,737,988,105.46/458,964.50
  6. Step 6: Final answer
    x = 215,132.08

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