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Finding the Fourth Proportional to 458,814.30, 688,221.45 and 159,195.30

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Solution

The fourth proportional to 458,814.30, 688,221.45 and 159,195.30 is: 238,792.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,814.30 : 688,221.45 = 159,195.30 : x
  2. Step 2: Convert to fraction form
    458,814.30/688,221.45 = 159,195.30/x
  3. Step 3: Cross multiply
    458,814.30x = 688,221.45 × 159,195.30
  4. Step 4: Simplify right side
    458,814.30x = 109,561,620,199.19
  5. Step 5: Solve for x
    x = 109,561,620,199.19/458,814.30
  6. Step 6: Final answer
    x = 238,792.95

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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.