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Finding the Fourth Proportional to 416,434.80, 574,673.16 and 225,446.64

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Solution

The fourth proportional to 416,434.80, 574,673.16 and 225,446.64 is: 311,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,434.80 : 574,673.16 = 225,446.64 : x
  2. Step 2: Convert to fraction form
    416,434.80/574,673.16 = 225,446.64/x
  3. Step 3: Cross multiply
    416,434.80x = 574,673.16 × 225,446.64
  4. Step 4: Simplify right side
    416,434.80x = 129,558,133,020.18
  5. Step 5: Solve for x
    x = 129,558,133,020.18/416,434.80
  6. Step 6: Final answer
    x = 311,112.65

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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.