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Finding the Fourth Proportional to 442,058.04, 610,040.16 and 240,854.04

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Solution

The fourth proportional to 442,058.04, 610,040.16 and 240,854.04 is: 332,378.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,058.04 : 610,040.16 = 240,854.04 : x
  2. Step 2: Convert to fraction form
    442,058.04/610,040.16 = 240,854.04/x
  3. Step 3: Cross multiply
    442,058.04x = 610,040.16 × 240,854.04
  4. Step 4: Simplify right side
    442,058.04x = 146,930,637,098.25
  5. Step 5: Solve for x
    x = 146,930,637,098.25/442,058.04
  6. Step 6: Final answer
    x = 332,378.61

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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.