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Finding the Fourth Proportional to 704,048.13, 972,388.40 and 477,299.97

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Solution

The fourth proportional to 704,048.13, 972,388.40 and 477,299.97 is: 659,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,048.13 : 972,388.40 = 477,299.97 : x
  2. Step 2: Convert to fraction form
    704,048.13/972,388.40 = 477,299.97/x
  3. Step 3: Cross multiply
    704,048.13x = 972,388.40 × 477,299.97
  4. Step 4: Simplify right side
    704,048.13x = 464,120,951,761.85
  5. Step 5: Solve for x
    x = 464,120,951,761.85/704,048.13
  6. Step 6: Final answer
    x = 659,217.65

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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.