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Finding the Fourth Proportional to 416,775.89, 575,147.12 and 225,788.82

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Solution

The fourth proportional to 416,775.89, 575,147.12 and 225,788.82 is: 311,586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,775.89 : 575,147.12 = 225,788.82 : x
  2. Step 2: Convert to fraction form
    416,775.89/575,147.12 = 225,788.82/x
  3. Step 3: Cross multiply
    416,775.89x = 575,147.12 × 225,788.82
  4. Step 4: Simplify right side
    416,775.89x = 129,861,792,070.80
  5. Step 5: Solve for x
    x = 129,861,792,070.80/416,775.89
  6. Step 6: Final answer
    x = 311,586.62

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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.