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Finding the Fourth Proportional to 409,300.05, 614,042.12 and 124,966.82

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Solution

The fourth proportional to 409,300.05, 614,042.12 and 124,966.82 is: 187,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,300.05 : 614,042.12 = 124,966.82 : x
  2. Step 2: Convert to fraction form
    409,300.05/614,042.12 = 124,966.82/x
  3. Step 3: Cross multiply
    409,300.05x = 614,042.12 × 124,966.82
  4. Step 4: Simplify right side
    409,300.05x = 76,734,887,387.41
  5. Step 5: Solve for x
    x = 76,734,887,387.41/409,300.05
  6. Step 6: Final answer
    x = 187,478.32

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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.