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Finding the Fourth Proportional to 307,543.80, 461,315.70 and 165,826.20

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Solution

The fourth proportional to 307,543.80, 461,315.70 and 165,826.20 is: 248,739.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,543.80 : 461,315.70 = 165,826.20 : x
  2. Step 2: Convert to fraction form
    307,543.80/461,315.70 = 165,826.20/x
  3. Step 3: Cross multiply
    307,543.80x = 461,315.70 × 165,826.20
  4. Step 4: Simplify right side
    307,543.80x = 76,498,229,531.34
  5. Step 5: Solve for x
    x = 76,498,229,531.34/307,543.80
  6. Step 6: Final answer
    x = 248,739.30

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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.