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Finding the Fourth Proportional to 412,689.68, 569,612.96 and 251,633.44

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Solution

The fourth proportional to 412,689.68, 569,612.96 and 251,633.44 is: 347,315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,689.68 : 569,612.96 = 251,633.44 : x
  2. Step 2: Convert to fraction form
    412,689.68/569,612.96 = 251,633.44/x
  3. Step 3: Cross multiply
    412,689.68x = 569,612.96 × 251,633.44
  4. Step 4: Simplify right side
    412,689.68x = 143,333,668,593.38
  5. Step 5: Solve for x
    x = 143,333,668,593.38/412,689.68
  6. Step 6: Final answer
    x = 347,315.85

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1.5x scale

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.