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Finding the Fourth Proportional to 298,424.92, 447,506.04 and 158,150.68

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Solution

The fourth proportional to 298,424.92, 447,506.04 and 158,150.68 is: 237,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,424.92 : 447,506.04 = 158,150.68 : x
  2. Step 2: Convert to fraction form
    298,424.92/447,506.04 = 158,150.68/x
  3. Step 3: Cross multiply
    298,424.92x = 447,506.04 × 158,150.68
  4. Step 4: Simplify right side
    298,424.92x = 70,773,384,530.11
  5. Step 5: Solve for x
    x = 70,773,384,530.11/298,424.92
  6. Step 6: Final answer
    x = 237,156.42

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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.