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Finding the Fourth Proportional to 332,309.18, 497,713.21 and 232,911.86

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Solution

The fourth proportional to 332,309.18, 497,713.21 and 232,911.86 is: 348,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,309.18 : 497,713.21 = 232,911.86 : x
  2. Step 2: Convert to fraction form
    332,309.18/497,713.21 = 232,911.86/x
  3. Step 3: Cross multiply
    332,309.18x = 497,713.21 × 232,911.86
  4. Step 4: Simplify right side
    332,309.18x = 115,923,306,416.83
  5. Step 5: Solve for x
    x = 115,923,306,416.83/332,309.18
  6. Step 6: Final answer
    x = 348,841.72

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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.