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Finding the Fourth Proportional to 362,231.80, 542,829.30 and 266,716.60

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Solution

The fourth proportional to 362,231.80, 542,829.30 and 266,716.60 is: 399,693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,231.80 : 542,829.30 = 266,716.60 : x
  2. Step 2: Convert to fraction form
    362,231.80/542,829.30 = 266,716.60/x
  3. Step 3: Cross multiply
    362,231.80x = 542,829.30 × 266,716.60
  4. Step 4: Simplify right side
    362,231.80x = 144,781,585,276.38
  5. Step 5: Solve for x
    x = 144,781,585,276.38/362,231.80
  6. Step 6: Final answer
    x = 399,693.19

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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.