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Finding the Fourth Proportional to 297,850, 447,124.92 and 185,788.12

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Solution

The fourth proportional to 297,850, 447,124.92 and 185,788.12 is: 278,900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,850 : 447,124.92 = 185,788.12 : x
  2. Step 2: Convert to fraction form
    297,850/447,124.92 = 185,788.12/x
  3. Step 3: Cross multiply
    297,850x = 447,124.92 × 185,788.12
  4. Step 4: Simplify right side
    297,850x = 83,070,498,291.95
  5. Step 5: Solve for x
    x = 83,070,498,291.95/297,850
  6. Step 6: Final answer
    x = 278,900.45

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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.