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Finding the Fourth Proportional to 416,423.88, 574,665.12 and 225,437.28

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Solution

The fourth proportional to 416,423.88, 574,665.12 and 225,437.28 is: 311,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,423.88 : 574,665.12 = 225,437.28 : x
  2. Step 2: Convert to fraction form
    416,423.88/574,665.12 = 225,437.28/x
  3. Step 3: Cross multiply
    416,423.88x = 574,665.12 × 225,437.28
  4. Step 4: Simplify right side
    416,423.88x = 129,550,941,563.67
  5. Step 5: Solve for x
    x = 129,550,941,563.67/416,423.88
  6. Step 6: Final answer
    x = 311,103.54

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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.