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Finding the Fourth Proportional to 699,326.40, 965,042.40 and 412,938.72

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Solution

The fourth proportional to 699,326.40, 965,042.40 and 412,938.72 is: 569,838.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,326.40 : 965,042.40 = 412,938.72 : x
  2. Step 2: Convert to fraction form
    699,326.40/965,042.40 = 412,938.72/x
  3. Step 3: Cross multiply
    699,326.40x = 965,042.40 × 412,938.72
  4. Step 4: Simplify right side
    699,326.40x = 398,503,373,401.73
  5. Step 5: Solve for x
    x = 398,503,373,401.73/699,326.40
  6. Step 6: Final answer
    x = 569,838.88

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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.