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Finding the Fourth Proportional to 299,510.12, 413,340.80 and 163,556.70

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Solution

The fourth proportional to 299,510.12, 413,340.80 and 163,556.70 is: 225,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,510.12 : 413,340.80 = 163,556.70 : x
  2. Step 2: Convert to fraction form
    299,510.12/413,340.80 = 163,556.70/x
  3. Step 3: Cross multiply
    299,510.12x = 413,340.80 × 163,556.70
  4. Step 4: Simplify right side
    299,510.12x = 67,604,656,405.58
  5. Step 5: Solve for x
    x = 67,604,656,405.58/299,510.12
  6. Step 6: Final answer
    x = 225,717.44

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