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Finding the Fourth Proportional to 649,860.80, 974,791.20 and 334,932.80

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Solution

The fourth proportional to 649,860.80, 974,791.20 and 334,932.80 is: 502,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,860.80 : 974,791.20 = 334,932.80 : x
  2. Step 2: Convert to fraction form
    649,860.80/974,791.20 = 334,932.80/x
  3. Step 3: Cross multiply
    649,860.80x = 974,791.20 × 334,932.80
  4. Step 4: Simplify right side
    649,860.80x = 326,489,546,031.36
  5. Step 5: Solve for x
    x = 326,489,546,031.36/649,860.80
  6. Step 6: Final answer
    x = 502,399.20

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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.