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Finding the Fourth Proportional to 416,438.42, 574,685.22 and 225,451.82

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Solution

The fourth proportional to 416,438.42, 574,685.22 and 225,451.82 is: 311,123.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,438.42 : 574,685.22 = 225,451.82 : x
  2. Step 2: Convert to fraction form
    416,438.42/574,685.22 = 225,451.82/x
  3. Step 3: Cross multiply
    416,438.42x = 574,685.22 × 225,451.82
  4. Step 4: Simplify right side
    416,438.42x = 129,563,828,776.10
  5. Step 5: Solve for x
    x = 129,563,828,776.10/416,438.42
  6. Step 6: Final answer
    x = 311,123.62

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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.