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Finding the Fourth Proportional to 469,897.20, 704,845.80 and 137,473.20

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Solution

The fourth proportional to 469,897.20, 704,845.80 and 137,473.20 is: 206,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,897.20 : 704,845.80 = 137,473.20 : x
  2. Step 2: Convert to fraction form
    469,897.20/704,845.80 = 137,473.20/x
  3. Step 3: Cross multiply
    469,897.20x = 704,845.80 × 137,473.20
  4. Step 4: Simplify right side
    469,897.20x = 96,897,407,632.56
  5. Step 5: Solve for x
    x = 96,897,407,632.56/469,897.20
  6. Step 6: Final answer
    x = 206,209.80

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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.