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Finding the Fourth Proportional to 433,739.68, 598,140.85 and 338,211.52

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Solution

The fourth proportional to 433,739.68, 598,140.85 and 338,211.52 is: 466,404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,739.68 : 598,140.85 = 338,211.52 : x
  2. Step 2: Convert to fraction form
    433,739.68/598,140.85 = 338,211.52/x
  3. Step 3: Cross multiply
    433,739.68x = 598,140.85 × 338,211.52
  4. Step 4: Simplify right side
    433,739.68x = 202,298,121,370.83
  5. Step 5: Solve for x
    x = 202,298,121,370.83/433,739.68
  6. Step 6: Final answer
    x = 466,404.47

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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.