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Finding the Fourth Proportional to 433,739.93, 598,141.19 and 338,211.77

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Solution

The fourth proportional to 433,739.93, 598,141.19 and 338,211.77 is: 466,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,739.93 : 598,141.19 = 338,211.77 : x
  2. Step 2: Convert to fraction form
    433,739.93/598,141.19 = 338,211.77/x
  3. Step 3: Cross multiply
    433,739.93x = 598,141.19 × 338,211.77
  4. Step 4: Simplify right side
    433,739.93x = 202,298,385,898.04
  5. Step 5: Solve for x
    x = 202,298,385,898.04/433,739.93
  6. Step 6: Final answer
    x = 466,404.81

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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.