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Finding the Fourth Proportional to 338,380.98, 466,965.75 and 202,420.65

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Solution

The fourth proportional to 338,380.98, 466,965.75 and 202,420.65 is: 279,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,380.98 : 466,965.75 = 202,420.65 : x
  2. Step 2: Convert to fraction form
    338,380.98/466,965.75 = 202,420.65/x
  3. Step 3: Cross multiply
    338,380.98x = 466,965.75 × 202,420.65
  4. Step 4: Simplify right side
    338,380.98x = 94,523,510,642.74
  5. Step 5: Solve for x
    x = 94,523,510,642.74/338,380.98
  6. Step 6: Final answer
    x = 279,340.50

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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.