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Finding the Fourth Proportional to 489,206.38, 735,209.24 and 240,063.34

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Solution

The fourth proportional to 489,206.38, 735,209.24 and 240,063.34 is: 360,781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,206.38 : 735,209.24 = 240,063.34 : x
  2. Step 2: Convert to fraction form
    489,206.38/735,209.24 = 240,063.34/x
  3. Step 3: Cross multiply
    489,206.38x = 735,209.24 × 240,063.34
  4. Step 4: Simplify right side
    489,206.38x = 176,496,785,753.26
  5. Step 5: Solve for x
    x = 176,496,785,753.26/489,206.38
  6. Step 6: Final answer
    x = 360,781.86

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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.