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Finding the Fourth Proportional to 416,410.86, 574,647.18 and 225,424.24

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Solution

The fourth proportional to 416,410.86, 574,647.18 and 225,424.24 is: 311,085.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,410.86 : 574,647.18 = 225,424.24 : x
  2. Step 2: Convert to fraction form
    416,410.86/574,647.18 = 225,424.24/x
  3. Step 3: Cross multiply
    416,410.86x = 574,647.18 × 225,424.24
  4. Step 4: Simplify right side
    416,410.86x = 129,539,403,819.64
  5. Step 5: Solve for x
    x = 129,539,403,819.64/416,410.86
  6. Step 6: Final answer
    x = 311,085.56

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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.