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Finding the Fourth Proportional to 423,546.80, 635,398.16 and 139,253.40

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Solution

The fourth proportional to 423,546.80, 635,398.16 and 139,253.40 is: 208,905.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,546.80 : 635,398.16 = 139,253.40 : x
  2. Step 2: Convert to fraction form
    423,546.80/635,398.16 = 139,253.40/x
  3. Step 3: Cross multiply
    423,546.80x = 635,398.16 × 139,253.40
  4. Step 4: Simplify right side
    423,546.80x = 88,481,353,437.48
  5. Step 5: Solve for x
    x = 88,481,353,437.48/423,546.80
  6. Step 6: Final answer
    x = 208,905.73

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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.