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Finding the Fourth Proportional to 415,033.24, 572,739.78 and 233,745.52

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Solution

The fourth proportional to 415,033.24, 572,739.78 and 233,745.52 is: 322,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,033.24 : 572,739.78 = 233,745.52 : x
  2. Step 2: Convert to fraction form
    415,033.24/572,739.78 = 233,745.52/x
  3. Step 3: Cross multiply
    415,033.24x = 572,739.78 × 233,745.52
  4. Step 4: Simplify right side
    415,033.24x = 133,875,357,700.79
  5. Step 5: Solve for x
    x = 133,875,357,700.79/415,033.24
  6. Step 6: Final answer
    x = 322,565.39

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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.