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Finding the Fourth Proportional to 516,388.47, 712,614.67 and 286,944.85

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Solution

The fourth proportional to 516,388.47, 712,614.67 and 286,944.85 is: 395,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,388.47 : 712,614.67 = 286,944.85 : x
  2. Step 2: Convert to fraction form
    516,388.47/712,614.67 = 286,944.85/x
  3. Step 3: Cross multiply
    516,388.47x = 712,614.67 × 286,944.85
  4. Step 4: Simplify right side
    516,388.47x = 204,481,109,590.95
  5. Step 5: Solve for x
    x = 204,481,109,590.95/516,388.47
  6. Step 6: Final answer
    x = 395,983.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.