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Finding the Fourth Proportional to 416,290.98, 574,480.54 and 225,304.50

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Solution

The fourth proportional to 416,290.98, 574,480.54 and 225,304.50 is: 310,919.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,290.98 : 574,480.54 = 225,304.50 : x
  2. Step 2: Convert to fraction form
    416,290.98/574,480.54 = 225,304.50/x
  3. Step 3: Cross multiply
    416,290.98x = 574,480.54 × 225,304.50
  4. Step 4: Simplify right side
    416,290.98x = 129,433,050,824.43
  5. Step 5: Solve for x
    x = 129,433,050,824.43/416,290.98
  6. Step 6: Final answer
    x = 310,919.66

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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.