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Finding the Fourth Proportional to 737,689.92, 1,017,984.64 and 410,995.20

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Solution

The fourth proportional to 737,689.92, 1,017,984.64 and 410,995.20 is: 567,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,689.92 : 1,017,984.64 = 410,995.20 : x
  2. Step 2: Convert to fraction form
    737,689.92/1,017,984.64 = 410,995.20/x
  3. Step 3: Cross multiply
    737,689.92x = 1,017,984.64 × 410,995.20
  4. Step 4: Simplify right side
    737,689.92x = 418,386,800,713.73
  5. Step 5: Solve for x
    x = 418,386,800,713.73/737,689.92
  6. Step 6: Final answer
    x = 567,158.08

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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.