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Finding the Fourth Proportional to 297,998.80, 411,238.24 and 163,862.80

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Solution

The fourth proportional to 297,998.80, 411,238.24 and 163,862.80 is: 226,130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,998.80 : 411,238.24 = 163,862.80 : x
  2. Step 2: Convert to fraction form
    297,998.80/411,238.24 = 163,862.80/x
  3. Step 3: Cross multiply
    297,998.80x = 411,238.24 × 163,862.80
  4. Step 4: Simplify right side
    297,998.80x = 67,386,649,473.47
  5. Step 5: Solve for x
    x = 67,386,649,473.47/297,998.80
  6. Step 6: Final answer
    x = 226,130.61

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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.