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Finding the Fourth Proportional to 299,429.40, 449,144.10 and 141,965.40

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Solution

The fourth proportional to 299,429.40, 449,144.10 and 141,965.40 is: 212,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,429.40 : 449,144.10 = 141,965.40 : x
  2. Step 2: Convert to fraction form
    299,429.40/449,144.10 = 141,965.40/x
  3. Step 3: Cross multiply
    299,429.40x = 449,144.10 × 141,965.40
  4. Step 4: Simplify right side
    299,429.40x = 63,762,921,814.14
  5. Step 5: Solve for x
    x = 63,762,921,814.14/299,429.40
  6. Step 6: Final answer
    x = 212,948.10

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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.