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Finding the Fourth Proportional to 410,815.20, 616,309.20 and 233,176.80

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Solution

The fourth proportional to 410,815.20, 616,309.20 and 233,176.80 is: 349,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,815.20 : 616,309.20 = 233,176.80 : x
  2. Step 2: Convert to fraction form
    410,815.20/616,309.20 = 233,176.80/x
  3. Step 3: Cross multiply
    410,815.20x = 616,309.20 × 233,176.80
  4. Step 4: Simplify right side
    410,815.20x = 143,709,007,066.56
  5. Step 5: Solve for x
    x = 143,709,007,066.56/410,815.20
  6. Step 6: Final answer
    x = 349,814.24

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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.