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Finding the Fourth Proportional to 402,410.27, 555,293.67 and 232,655.33

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Solution

The fourth proportional to 402,410.27, 555,293.67 and 232,655.33 is: 321,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,410.27 : 555,293.67 = 232,655.33 : x
  2. Step 2: Convert to fraction form
    402,410.27/555,293.67 = 232,655.33/x
  3. Step 3: Cross multiply
    402,410.27x = 555,293.67 × 232,655.33
  4. Step 4: Simplify right side
    402,410.27x = 129,192,032,040.76
  5. Step 5: Solve for x
    x = 129,192,032,040.76/402,410.27
  6. Step 6: Final answer
    x = 321,045.56

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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.