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Finding the Fourth Proportional to 416,425.14, 574,666.89 and 225,438.54

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Solution

The fourth proportional to 416,425.14, 574,666.89 and 225,438.54 is: 311,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,425.14 : 574,666.89 = 225,438.54 : x
  2. Step 2: Convert to fraction form
    416,425.14/574,666.89 = 225,438.54/x
  3. Step 3: Cross multiply
    416,425.14x = 574,666.89 × 225,438.54
  4. Step 4: Simplify right side
    416,425.14x = 129,552,064,667.94
  5. Step 5: Solve for x
    x = 129,552,064,667.94/416,425.14
  6. Step 6: Final answer
    x = 311,105.29

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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.