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Finding the Fourth Proportional to 288,446.96, 432,711.46 and 88,784

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Solution

The fourth proportional to 288,446.96, 432,711.46 and 88,784 is: 133,188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,446.96 : 432,711.46 = 88,784 : x
  2. Step 2: Convert to fraction form
    288,446.96/432,711.46 = 88,784/x
  3. Step 3: Cross multiply
    288,446.96x = 432,711.46 × 88,784
  4. Step 4: Simplify right side
    288,446.96x = 38,417,854,264.64
  5. Step 5: Solve for x
    x = 38,417,854,264.64/288,446.96
  6. Step 6: Final answer
    x = 133,188.63

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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.