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Finding the Fourth Proportional to 416,457.54, 574,723.17 and 235,196.73

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Solution

The fourth proportional to 416,457.54, 574,723.17 and 235,196.73 is: 324,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,457.54 : 574,723.17 = 235,196.73 : x
  2. Step 2: Convert to fraction form
    416,457.54/574,723.17 = 235,196.73/x
  3. Step 3: Cross multiply
    416,457.54x = 574,723.17 × 235,196.73
  4. Step 4: Simplify right side
    416,457.54x = 135,173,010,239.23
  5. Step 5: Solve for x
    x = 135,173,010,239.23/416,457.54
  6. Step 6: Final answer
    x = 324,578.13

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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.