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Finding the Fourth Proportional to 416,174.64, 574,319.16 and 225,191.40

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Solution

The fourth proportional to 416,174.64, 574,319.16 and 225,191.40 is: 310,763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,174.64 : 574,319.16 = 225,191.40 : x
  2. Step 2: Convert to fraction form
    416,174.64/574,319.16 = 225,191.40/x
  3. Step 3: Cross multiply
    416,174.64x = 574,319.16 × 225,191.40
  4. Step 4: Simplify right side
    416,174.64x = 129,331,735,687.22
  5. Step 5: Solve for x
    x = 129,331,735,687.22/416,174.64
  6. Step 6: Final answer
    x = 310,763.13

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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.