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Finding the Fourth Proportional to 397,707.70, 596,562.78 and 98,188.31

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Solution

The fourth proportional to 397,707.70, 596,562.78 and 98,188.31 is: 147,282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,707.70 : 596,562.78 = 98,188.31 : x
  2. Step 2: Convert to fraction form
    397,707.70/596,562.78 = 98,188.31/x
  3. Step 3: Cross multiply
    397,707.70x = 596,562.78 × 98,188.31
  4. Step 4: Simplify right side
    397,707.70x = 58,575,491,177.10
  5. Step 5: Solve for x
    x = 58,575,491,177.10/397,707.70
  6. Step 6: Final answer
    x = 147,282.77

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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.