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Finding the Fourth Proportional to 501,810.20, 752,715.30 and 164,902.85

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Solution

The fourth proportional to 501,810.20, 752,715.30 and 164,902.85 is: 247,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,810.20 : 752,715.30 = 164,902.85 : x
  2. Step 2: Convert to fraction form
    501,810.20/752,715.30 = 164,902.85/x
  3. Step 3: Cross multiply
    501,810.20x = 752,715.30 × 164,902.85
  4. Step 4: Simplify right side
    501,810.20x = 124,124,898,208.61
  5. Step 5: Solve for x
    x = 124,124,898,208.61/501,810.20
  6. Step 6: Final answer
    x = 247,354.28

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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.