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Finding the Fourth Proportional to 416,314.96, 574,515.11 and 225,327.89

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Solution

The fourth proportional to 416,314.96, 574,515.11 and 225,327.89 is: 310,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,314.96 : 574,515.11 = 225,327.89 : x
  2. Step 2: Convert to fraction form
    416,314.96/574,515.11 = 225,327.89/x
  3. Step 3: Cross multiply
    416,314.96x = 574,515.11 × 225,327.89
  4. Step 4: Simplify right side
    416,314.96x = 129,454,279,509.03
  5. Step 5: Solve for x
    x = 129,454,279,509.03/416,314.96
  6. Step 6: Final answer
    x = 310,952.75

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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.