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Finding the Fourth Proportional to 442,335.96, 610,370.10 and 251,295.84

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Solution

The fourth proportional to 442,335.96, 610,370.10 and 251,295.84 is: 346,757.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,335.96 : 610,370.10 = 251,295.84 : x
  2. Step 2: Convert to fraction form
    442,335.96/610,370.10 = 251,295.84/x
  3. Step 3: Cross multiply
    442,335.96x = 610,370.10 × 251,295.84
  4. Step 4: Simplify right side
    442,335.96x = 153,383,466,990.38
  5. Step 5: Solve for x
    x = 153,383,466,990.38/442,335.96
  6. Step 6: Final answer
    x = 346,757.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.