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Finding the Fourth Proportional to 299,429.20, 448,487.70 and 260,063.20

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Solution

The fourth proportional to 299,429.20, 448,487.70 and 260,063.20 is: 389,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,429.20 : 448,487.70 = 260,063.20 : x
  2. Step 2: Convert to fraction form
    299,429.20/448,487.70 = 260,063.20/x
  3. Step 3: Cross multiply
    299,429.20x = 448,487.70 × 260,063.20
  4. Step 4: Simplify right side
    299,429.20x = 116,635,146,422.64
  5. Step 5: Solve for x
    x = 116,635,146,422.64/299,429.20
  6. Step 6: Final answer
    x = 389,524.96

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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.