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Finding the Fourth Proportional to 586,536.38, 809,420.31 and 331,882.46

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Solution

The fourth proportional to 586,536.38, 809,420.31 and 331,882.46 is: 457,997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,536.38 : 809,420.31 = 331,882.46 : x
  2. Step 2: Convert to fraction form
    586,536.38/809,420.31 = 331,882.46/x
  3. Step 3: Cross multiply
    586,536.38x = 809,420.31 × 331,882.46
  4. Step 4: Simplify right side
    586,536.38x = 268,632,403,656.76
  5. Step 5: Solve for x
    x = 268,632,403,656.76/586,536.38
  6. Step 6: Final answer
    x = 457,997.85

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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.