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Finding the Fourth Proportional to 312,677.92, 469,017.42 and 76,020.76

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Solution

The fourth proportional to 312,677.92, 469,017.42 and 76,020.76 is: 114,031.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,677.92 : 469,017.42 = 76,020.76 : x
  2. Step 2: Convert to fraction form
    312,677.92/469,017.42 = 76,020.76/x
  3. Step 3: Cross multiply
    312,677.92x = 469,017.42 × 76,020.76
  4. Step 4: Simplify right side
    312,677.92x = 35,655,060,721.64
  5. Step 5: Solve for x
    x = 35,655,060,721.64/312,677.92
  6. Step 6: Final answer
    x = 114,031.27

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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.