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Finding the Fourth Proportional to 432,071.70, 648,107.55 and 242,337.30

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Solution

The fourth proportional to 432,071.70, 648,107.55 and 242,337.30 is: 363,505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,071.70 : 648,107.55 = 242,337.30 : x
  2. Step 2: Convert to fraction form
    432,071.70/648,107.55 = 242,337.30/x
  3. Step 3: Cross multiply
    432,071.70x = 648,107.55 × 242,337.30
  4. Step 4: Simplify right side
    432,071.70x = 157,060,633,776.62
  5. Step 5: Solve for x
    x = 157,060,633,776.62/432,071.70
  6. Step 6: Final answer
    x = 363,505.95

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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.