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Finding the Fourth Proportional to 298,093.52, 411,160.80 and 202,434.08

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Solution

The fourth proportional to 298,093.52, 411,160.80 and 202,434.08 is: 279,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,093.52 : 411,160.80 = 202,434.08 : x
  2. Step 2: Convert to fraction form
    298,093.52/411,160.80 = 202,434.08/x
  3. Step 3: Cross multiply
    298,093.52x = 411,160.80 × 202,434.08
  4. Step 4: Simplify right side
    298,093.52x = 83,232,958,280.06
  5. Step 5: Solve for x
    x = 83,232,958,280.06/298,093.52
  6. Step 6: Final answer
    x = 279,217.60

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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.