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Finding the Fourth Proportional to 416,627.58, 574,945.89 and 225,640.98

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Solution

The fourth proportional to 416,627.58, 574,945.89 and 225,640.98 is: 311,384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,627.58 : 574,945.89 = 225,640.98 : x
  2. Step 2: Convert to fraction form
    416,627.58/574,945.89 = 225,640.98/x
  3. Step 3: Cross multiply
    416,627.58x = 574,945.89 × 225,640.98
  4. Step 4: Simplify right side
    416,627.58x = 129,731,354,066.57
  5. Step 5: Solve for x
    x = 129,731,354,066.57/416,627.58
  6. Step 6: Final answer
    x = 311,384.46

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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.