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Finding the Fourth Proportional to 420,407.86, 580,175.56 and 239,145.78

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Solution

The fourth proportional to 420,407.86, 580,175.56 and 239,145.78 is: 330,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,407.86 : 580,175.56 = 239,145.78 : x
  2. Step 2: Convert to fraction form
    420,407.86/580,175.56 = 239,145.78/x
  3. Step 3: Cross multiply
    420,407.86x = 580,175.56 × 239,145.78
  4. Step 4: Simplify right side
    420,407.86x = 138,746,536,833.14
  5. Step 5: Solve for x
    x = 138,746,536,833.14/420,407.86
  6. Step 6: Final answer
    x = 330,028.41

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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.