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Finding the Fourth Proportional to 433,049.60, 649,648.92 and 148,726.64

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Solution

The fourth proportional to 433,049.60, 649,648.92 and 148,726.64 is: 223,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,049.60 : 649,648.92 = 148,726.64 : x
  2. Step 2: Convert to fraction form
    433,049.60/649,648.92 = 148,726.64/x
  3. Step 3: Cross multiply
    433,049.60x = 649,648.92 × 148,726.64
  4. Step 4: Simplify right side
    433,049.60x = 96,620,101,051.23
  5. Step 5: Solve for x
    x = 96,620,101,051.23/433,049.60
  6. Step 6: Final answer
    x = 223,115.55

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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.