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Finding the Fourth Proportional to 298,423.92, 447,504.54 and 158,149.68

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Solution

The fourth proportional to 298,423.92, 447,504.54 and 158,149.68 is: 237,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,423.92 : 447,504.54 = 158,149.68 : x
  2. Step 2: Convert to fraction form
    298,423.92/447,504.54 = 158,149.68/x
  3. Step 3: Cross multiply
    298,423.92x = 447,504.54 × 158,149.68
  4. Step 4: Simplify right side
    298,423.92x = 70,772,699,799.55
  5. Step 5: Solve for x
    x = 70,772,699,799.55/298,423.92
  6. Step 6: Final answer
    x = 237,154.92

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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.