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Finding the Fourth Proportional to 550,042.70, 825,064.68 and 150,686.90

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Solution

The fourth proportional to 550,042.70, 825,064.68 and 150,686.90 is: 226,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,042.70 : 825,064.68 = 150,686.90 : x
  2. Step 2: Convert to fraction form
    550,042.70/825,064.68 = 150,686.90/x
  3. Step 3: Cross multiply
    550,042.70x = 825,064.68 × 150,686.90
  4. Step 4: Simplify right side
    550,042.70x = 124,326,438,928.69
  5. Step 5: Solve for x
    x = 124,326,438,928.69/550,042.70
  6. Step 6: Final answer
    x = 226,030.52

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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.