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Finding the Fourth Proportional to 242,534.70, 363,802.05 and 231,648.30

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Solution

The fourth proportional to 242,534.70, 363,802.05 and 231,648.30 is: 347,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,534.70 : 363,802.05 = 231,648.30 : x
  2. Step 2: Convert to fraction form
    242,534.70/363,802.05 = 231,648.30/x
  3. Step 3: Cross multiply
    242,534.70x = 363,802.05 × 231,648.30
  4. Step 4: Simplify right side
    242,534.70x = 84,274,126,419.02
  5. Step 5: Solve for x
    x = 84,274,126,419.02/242,534.70
  6. Step 6: Final answer
    x = 347,472.45

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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.