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Finding the Fourth Proportional to 338,542.96, 467,064.24 and 202,580.08

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Solution

The fourth proportional to 338,542.96, 467,064.24 and 202,580.08 is: 279,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,542.96 : 467,064.24 = 202,580.08 : x
  2. Step 2: Convert to fraction form
    338,542.96/467,064.24 = 202,580.08/x
  3. Step 3: Cross multiply
    338,542.96x = 467,064.24 × 202,580.08
  4. Step 4: Simplify right side
    338,542.96x = 94,617,911,104.34
  5. Step 5: Solve for x
    x = 94,617,911,104.34/338,542.96
  6. Step 6: Final answer
    x = 279,485.69

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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.