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Finding the Fourth Proportional to 412,894.56, 569,659.92 and 240,773.52

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Solution

The fourth proportional to 412,894.56, 569,659.92 and 240,773.52 is: 332,188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,894.56 : 569,659.92 = 240,773.52 : x
  2. Step 2: Convert to fraction form
    412,894.56/569,659.92 = 240,773.52/x
  3. Step 3: Cross multiply
    412,894.56x = 569,659.92 × 240,773.52
  4. Step 4: Simplify right side
    412,894.56x = 137,159,024,141.32
  5. Step 5: Solve for x
    x = 137,159,024,141.32/412,894.56
  6. Step 6: Final answer
    x = 332,188.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.