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Finding the Fourth Proportional to 283,115.21, 424,317.23 and 169,346.95

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Solution

The fourth proportional to 283,115.21, 424,317.23 and 169,346.95 is: 253,807.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,115.21 : 424,317.23 = 169,346.95 : x
  2. Step 2: Convert to fraction form
    283,115.21/424,317.23 = 169,346.95/x
  3. Step 3: Cross multiply
    283,115.21x = 424,317.23 × 169,346.95
  4. Step 4: Simplify right side
    283,115.21x = 71,856,828,095.52
  5. Step 5: Solve for x
    x = 71,856,828,095.52/283,115.21
  6. Step 6: Final answer
    x = 253,807.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.