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Finding the Fourth Proportional to 443,013.76, 664,125.44 and 162,465.92

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Solution

The fourth proportional to 443,013.76, 664,125.44 and 162,465.92 is: 243,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,013.76 : 664,125.44 = 162,465.92 : x
  2. Step 2: Convert to fraction form
    443,013.76/664,125.44 = 162,465.92/x
  3. Step 3: Cross multiply
    443,013.76x = 664,125.44 × 162,465.92
  4. Step 4: Simplify right side
    443,013.76x = 107,897,750,605.01
  5. Step 5: Solve for x
    x = 107,897,750,605.01/443,013.76
  6. Step 6: Final answer
    x = 243,553.95

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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.