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Finding the Fourth Proportional to 416,419, 574,658.22 and 237,567.16

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Solution

The fourth proportional to 416,419, 574,658.22 and 237,567.16 is: 327,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,419 : 574,658.22 = 237,567.16 : x
  2. Step 2: Convert to fraction form
    416,419/574,658.22 = 237,567.16/x
  3. Step 3: Cross multiply
    416,419x = 574,658.22 × 237,567.16
  4. Step 4: Simplify right side
    416,419x = 136,519,921,296.06
  5. Step 5: Solve for x
    x = 136,519,921,296.06/416,419
  6. Step 6: Final answer
    x = 327,842.68

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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.