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Finding the Fourth Proportional to 289,972.80, 434,959.20 and 201,499.20

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Solution

The fourth proportional to 289,972.80, 434,959.20 and 201,499.20 is: 302,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,972.80 : 434,959.20 = 201,499.20 : x
  2. Step 2: Convert to fraction form
    289,972.80/434,959.20 = 201,499.20/x
  3. Step 3: Cross multiply
    289,972.80x = 434,959.20 × 201,499.20
  4. Step 4: Simplify right side
    289,972.80x = 87,643,930,832.64
  5. Step 5: Solve for x
    x = 87,643,930,832.64/289,972.80
  6. Step 6: Final answer
    x = 302,248.80

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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.