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Finding the Fourth Proportional to 310,843.30, 466,610.55 and 192,648.10

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Solution

The fourth proportional to 310,843.30, 466,610.55 and 192,648.10 is: 289,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,843.30 : 466,610.55 = 192,648.10 : x
  2. Step 2: Convert to fraction form
    310,843.30/466,610.55 = 192,648.10/x
  3. Step 3: Cross multiply
    310,843.30x = 466,610.55 × 192,648.10
  4. Step 4: Simplify right side
    310,843.30x = 89,891,635,897.46
  5. Step 5: Solve for x
    x = 89,891,635,897.46/310,843.30
  6. Step 6: Final answer
    x = 289,186.34

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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.