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Finding the Fourth Proportional to 704,747.82, 972,559.14 and 382,460.70

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Solution

The fourth proportional to 704,747.82, 972,559.14 and 382,460.70 is: 527,799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,747.82 : 972,559.14 = 382,460.70 : x
  2. Step 2: Convert to fraction form
    704,747.82/972,559.14 = 382,460.70/x
  3. Step 3: Cross multiply
    704,747.82x = 972,559.14 × 382,460.70
  4. Step 4: Simplify right side
    704,747.82x = 371,965,649,475.80
  5. Step 5: Solve for x
    x = 371,965,649,475.80/704,747.82
  6. Step 6: Final answer
    x = 527,799.65

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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.