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Finding the Fourth Proportional to 458,842.32, 688,263.48 and 178,425.18

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Solution

The fourth proportional to 458,842.32, 688,263.48 and 178,425.18 is: 267,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,842.32 : 688,263.48 = 178,425.18 : x
  2. Step 2: Convert to fraction form
    458,842.32/688,263.48 = 178,425.18/x
  3. Step 3: Cross multiply
    458,842.32x = 688,263.48 × 178,425.18
  4. Step 4: Simplify right side
    458,842.32x = 122,803,535,306.43
  5. Step 5: Solve for x
    x = 122,803,535,306.43/458,842.32
  6. Step 6: Final answer
    x = 267,637.77

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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.