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Finding the Fourth Proportional to 451,830.92, 677,514.92 and 238,713.24

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Solution

The fourth proportional to 451,830.92, 677,514.92 and 238,713.24 is: 357,947.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,830.92 : 677,514.92 = 238,713.24 : x
  2. Step 2: Convert to fraction form
    451,830.92/677,514.92 = 238,713.24/x
  3. Step 3: Cross multiply
    451,830.92x = 677,514.92 × 238,713.24
  4. Step 4: Simplify right side
    451,830.92x = 161,731,781,701.54
  5. Step 5: Solve for x
    x = 161,731,781,701.54/451,830.92
  6. Step 6: Final answer
    x = 357,947.57

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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.