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Finding the Fourth Proportional to 402,847.19, 604,270.92 and 103,327.73

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Solution

The fourth proportional to 402,847.19, 604,270.92 and 103,327.73 is: 154,991.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,847.19 : 604,270.92 = 103,327.73 : x
  2. Step 2: Convert to fraction form
    402,847.19/604,270.92 = 103,327.73/x
  3. Step 3: Cross multiply
    402,847.19x = 604,270.92 × 103,327.73
  4. Step 4: Simplify right side
    402,847.19x = 62,437,944,918.56
  5. Step 5: Solve for x
    x = 62,437,944,918.56/402,847.19
  6. Step 6: Final answer
    x = 154,991.64

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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.