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Finding the Fourth Proportional to 458,029.20, 686,849.40 and 221,444.40

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Solution

The fourth proportional to 458,029.20, 686,849.40 and 221,444.40 is: 332,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,029.20 : 686,849.40 = 221,444.40 : x
  2. Step 2: Convert to fraction form
    458,029.20/686,849.40 = 221,444.40/x
  3. Step 3: Cross multiply
    458,029.20x = 686,849.40 × 221,444.40
  4. Step 4: Simplify right side
    458,029.20x = 152,098,953,273.36
  5. Step 5: Solve for x
    x = 152,098,953,273.36/458,029.20
  6. Step 6: Final answer
    x = 332,072.61

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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.