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Finding the Fourth Proportional to 458,338.30, 687,616.80 and 233,733.40

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Solution

The fourth proportional to 458,338.30, 687,616.80 and 233,733.40 is: 350,655.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,338.30 : 687,616.80 = 233,733.40 : x
  2. Step 2: Convert to fraction form
    458,338.30/687,616.80 = 233,733.40/x
  3. Step 3: Cross multiply
    458,338.30x = 687,616.80 × 233,733.40
  4. Step 4: Simplify right side
    458,338.30x = 160,719,012,561.12
  5. Step 5: Solve for x
    x = 160,719,012,561.12/458,338.30
  6. Step 6: Final answer
    x = 350,655.86

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