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Finding the Fourth Proportional to 427,034.83, 589,308.20 and 233,443.39

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Solution

The fourth proportional to 427,034.83, 589,308.20 and 233,443.39 is: 322,151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,034.83 : 589,308.20 = 233,443.39 : x
  2. Step 2: Convert to fraction form
    427,034.83/589,308.20 = 233,443.39/x
  3. Step 3: Cross multiply
    427,034.83x = 589,308.20 × 233,443.39
  4. Step 4: Simplify right side
    427,034.83x = 137,570,103,962.80
  5. Step 5: Solve for x
    x = 137,570,103,962.80/427,034.83
  6. Step 6: Final answer
    x = 322,151.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.