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Finding the Fourth Proportional to 292,046.40, 437,767.20 and 158,644.80

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Solution

The fourth proportional to 292,046.40, 437,767.20 and 158,644.80 is: 237,802.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,046.40 : 437,767.20 = 158,644.80 : x
  2. Step 2: Convert to fraction form
    292,046.40/437,767.20 = 158,644.80/x
  3. Step 3: Cross multiply
    292,046.40x = 437,767.20 × 158,644.80
  4. Step 4: Simplify right side
    292,046.40x = 69,449,489,890.56
  5. Step 5: Solve for x
    x = 69,449,489,890.56/292,046.40
  6. Step 6: Final answer
    x = 237,802.93

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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.