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Finding the Fourth Proportional to 269,027.20, 403,929.60 and 202,931.20

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Solution

The fourth proportional to 269,027.20, 403,929.60 and 202,931.20 is: 304,690.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,027.20 : 403,929.60 = 202,931.20 : x
  2. Step 2: Convert to fraction form
    269,027.20/403,929.60 = 202,931.20/x
  3. Step 3: Cross multiply
    269,027.20x = 403,929.60 × 202,931.20
  4. Step 4: Simplify right side
    269,027.20x = 81,969,918,443.52
  5. Step 5: Solve for x
    x = 81,969,918,443.52/269,027.20
  6. Step 6: Final answer
    x = 304,690.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.