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Finding the Fourth Proportional to 288,002.30, 432,003.45 and 268,319.30

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Solution

The fourth proportional to 288,002.30, 432,003.45 and 268,319.30 is: 402,478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,002.30 : 432,003.45 = 268,319.30 : x
  2. Step 2: Convert to fraction form
    288,002.30/432,003.45 = 268,319.30/x
  3. Step 3: Cross multiply
    288,002.30x = 432,003.45 × 268,319.30
  4. Step 4: Simplify right side
    288,002.30x = 115,914,863,301.59
  5. Step 5: Solve for x
    x = 115,914,863,301.59/288,002.30
  6. Step 6: Final answer
    x = 402,478.95

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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.