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Finding the Fourth Proportional to 475,159.14, 655,471.17 and 293,813.10

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Solution

The fourth proportional to 475,159.14, 655,471.17 and 293,813.10 is: 405,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,159.14 : 655,471.17 = 293,813.10 : x
  2. Step 2: Convert to fraction form
    475,159.14/655,471.17 = 293,813.10/x
  3. Step 3: Cross multiply
    475,159.14x = 655,471.17 × 293,813.10
  4. Step 4: Simplify right side
    475,159.14x = 192,586,016,418.33
  5. Step 5: Solve for x
    x = 192,586,016,418.33/475,159.14
  6. Step 6: Final answer
    x = 405,308.45

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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.