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Finding the Fourth Proportional to 426,841.52, 639,750.80 and 198,829.76

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Solution

The fourth proportional to 426,841.52, 639,750.80 and 198,829.76 is: 298,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,841.52 : 639,750.80 = 198,829.76 : x
  2. Step 2: Convert to fraction form
    426,841.52/639,750.80 = 198,829.76/x
  3. Step 3: Cross multiply
    426,841.52x = 639,750.80 × 198,829.76
  4. Step 4: Simplify right side
    426,841.52x = 127,201,498,023.81
  5. Step 5: Solve for x
    x = 127,201,498,023.81/426,841.52
  6. Step 6: Final answer
    x = 298,006.38

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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.