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Finding the Fourth Proportional to 242,534.61, 332,274 and 233,443.95

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Solution

The fourth proportional to 242,534.61, 332,274 and 233,443.95 is: 319,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,534.61 : 332,274 = 233,443.95 : x
  2. Step 2: Convert to fraction form
    242,534.61/332,274 = 233,443.95/x
  3. Step 3: Cross multiply
    242,534.61x = 332,274 × 233,443.95
  4. Step 4: Simplify right side
    242,534.61x = 77,567,355,042.30
  5. Step 5: Solve for x
    x = 77,567,355,042.30/242,534.61
  6. Step 6: Final answer
    x = 319,819.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.