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Finding the Fourth Proportional to 494,407.92, 741,682.92 and 152,877.96

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Solution

The fourth proportional to 494,407.92, 741,682.92 and 152,877.96 is: 229,338.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,407.92 : 741,682.92 = 152,877.96 : x
  2. Step 2: Convert to fraction form
    494,407.92/741,682.92 = 152,877.96/x
  3. Step 3: Cross multiply
    494,407.92x = 741,682.92 × 152,877.96
  4. Step 4: Simplify right side
    494,407.92x = 113,386,971,776.44
  5. Step 5: Solve for x
    x = 113,386,971,776.44/494,407.92
  6. Step 6: Final answer
    x = 229,338.91

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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.