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Finding the Fourth Proportional to 410,293.20, 616,073.40 and 223,669.20

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Solution

The fourth proportional to 410,293.20, 616,073.40 and 223,669.20 is: 335,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,293.20 : 616,073.40 = 223,669.20 : x
  2. Step 2: Convert to fraction form
    410,293.20/616,073.40 = 223,669.20/x
  3. Step 3: Cross multiply
    410,293.20x = 616,073.40 × 223,669.20
  4. Step 4: Simplify right side
    410,293.20x = 137,796,644,519.28
  5. Step 5: Solve for x
    x = 137,796,644,519.28/410,293.20
  6. Step 6: Final answer
    x = 335,849.20

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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.