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Finding the Fourth Proportional to 299,410.30, 448,510.65 and 186,744.70

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Solution

The fourth proportional to 299,410.30, 448,510.65 and 186,744.70 is: 279,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,410.30 : 448,510.65 = 186,744.70 : x
  2. Step 2: Convert to fraction form
    299,410.30/448,510.65 = 186,744.70/x
  3. Step 3: Cross multiply
    299,410.30x = 448,510.65 × 186,744.70
  4. Step 4: Simplify right side
    299,410.30x = 83,756,986,781.06
  5. Step 5: Solve for x
    x = 83,756,986,781.06/299,410.30
  6. Step 6: Final answer
    x = 279,739.83

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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.