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Finding the Fourth Proportional to 456,610.68, 685,032.84 and 267,230.52

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Solution

The fourth proportional to 456,610.68, 685,032.84 and 267,230.52 is: 400,914.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,610.68 : 685,032.84 = 267,230.52 : x
  2. Step 2: Convert to fraction form
    456,610.68/685,032.84 = 267,230.52/x
  3. Step 3: Cross multiply
    456,610.68x = 685,032.84 × 267,230.52
  4. Step 4: Simplify right side
    456,610.68x = 183,061,682,050.28
  5. Step 5: Solve for x
    x = 183,061,682,050.28/456,610.68
  6. Step 6: Final answer
    x = 400,914.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.