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Finding the Fourth Proportional to 363,337.50, 501,405.75 and 204,361.50

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Solution

The fourth proportional to 363,337.50, 501,405.75 and 204,361.50 is: 282,018.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,337.50 : 501,405.75 = 204,361.50 : x
  2. Step 2: Convert to fraction form
    363,337.50/501,405.75 = 204,361.50/x
  3. Step 3: Cross multiply
    363,337.50x = 501,405.75 × 204,361.50
  4. Step 4: Simplify right side
    363,337.50x = 102,468,031,178.63
  5. Step 5: Solve for x
    x = 102,468,031,178.63/363,337.50
  6. Step 6: Final answer
    x = 282,018.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.