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Finding the Fourth Proportional to 298,428.92, 447,512.02 and 158,154.68

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Solution

The fourth proportional to 298,428.92, 447,512.02 and 158,154.68 is: 237,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,428.92 : 447,512.02 = 158,154.68 : x
  2. Step 2: Convert to fraction form
    298,428.92/447,512.02 = 158,154.68/x
  3. Step 3: Cross multiply
    298,428.92x = 447,512.02 × 158,154.68
  4. Step 4: Simplify right side
    298,428.92x = 70,776,120,319.25
  5. Step 5: Solve for x
    x = 70,776,120,319.25/298,428.92
  6. Step 6: Final answer
    x = 237,162.40

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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.