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Finding the Fourth Proportional to 410,651.21, 566,686.99 and 229,357.82

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Solution

The fourth proportional to 410,651.21, 566,686.99 and 229,357.82 is: 316,507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,651.21 : 566,686.99 = 229,357.82 : x
  2. Step 2: Convert to fraction form
    410,651.21/566,686.99 = 229,357.82/x
  3. Step 3: Cross multiply
    410,651.21x = 566,686.99 × 229,357.82
  4. Step 4: Simplify right side
    410,651.21x = 129,974,092,648.76
  5. Step 5: Solve for x
    x = 129,974,092,648.76/410,651.21
  6. Step 6: Final answer
    x = 316,507.27

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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.