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Finding the Fourth Proportional to 475,846.10, 656,691.68 and 261,006.16

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Solution

The fourth proportional to 475,846.10, 656,691.68 and 261,006.16 is: 360,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,846.10 : 656,691.68 = 261,006.16 : x
  2. Step 2: Convert to fraction form
    475,846.10/656,691.68 = 261,006.16/x
  3. Step 3: Cross multiply
    475,846.10x = 656,691.68 × 261,006.16
  4. Step 4: Simplify right side
    475,846.10x = 171,400,573,700.75
  5. Step 5: Solve for x
    x = 171,400,573,700.75/475,846.10
  6. Step 6: Final answer
    x = 360,201.70

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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.