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Finding the Fourth Proportional to 343,315.20, 515,318.40 and 165,964.80

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Solution

The fourth proportional to 343,315.20, 515,318.40 and 165,964.80 is: 249,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,315.20 : 515,318.40 = 165,964.80 : x
  2. Step 2: Convert to fraction form
    343,315.20/515,318.40 = 165,964.80/x
  3. Step 3: Cross multiply
    343,315.20x = 515,318.40 × 165,964.80
  4. Step 4: Simplify right side
    343,315.20x = 85,524,715,192.32
  5. Step 5: Solve for x
    x = 85,524,715,192.32/343,315.20
  6. Step 6: Final answer
    x = 249,114.27

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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.