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Finding the Fourth Proportional to 702,498.24, 969,462.72 and 396,516.24

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Solution

The fourth proportional to 702,498.24, 969,462.72 and 396,516.24 is: 547,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,498.24 : 969,462.72 = 396,516.24 : x
  2. Step 2: Convert to fraction form
    702,498.24/969,462.72 = 396,516.24/x
  3. Step 3: Cross multiply
    702,498.24x = 969,462.72 × 396,516.24
  4. Step 4: Simplify right side
    702,498.24x = 384,407,712,554.57
  5. Step 5: Solve for x
    x = 384,407,712,554.57/702,498.24
  6. Step 6: Final answer
    x = 547,200.96

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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.