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Finding the Fourth Proportional to 416,980.62, 575,434.17 and 225,993.96

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Solution

The fourth proportional to 416,980.62, 575,434.17 and 225,993.96 is: 311,872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,980.62 : 575,434.17 = 225,993.96 : x
  2. Step 2: Convert to fraction form
    416,980.62/575,434.17 = 225,993.96/x
  3. Step 3: Cross multiply
    416,980.62x = 575,434.17 × 225,993.96
  4. Step 4: Simplify right side
    416,980.62x = 130,044,646,797.61
  5. Step 5: Solve for x
    x = 130,044,646,797.61/416,980.62
  6. Step 6: Final answer
    x = 311,872.16

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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.