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Finding the Fourth Proportional to 288,001.80, 432,002.70 and 268,318.80

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Solution

The fourth proportional to 288,001.80, 432,002.70 and 268,318.80 is: 402,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,001.80 : 432,002.70 = 268,318.80 : x
  2. Step 2: Convert to fraction form
    288,001.80/432,002.70 = 268,318.80/x
  3. Step 3: Cross multiply
    288,001.80x = 432,002.70 × 268,318.80
  4. Step 4: Simplify right side
    288,001.80x = 115,914,446,060.76
  5. Step 5: Solve for x
    x = 115,914,446,060.76/288,001.80
  6. Step 6: Final answer
    x = 402,478.20

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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.