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Finding the Fourth Proportional to 340,834.40, 511,251.60 and 304,092.80

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Solution

The fourth proportional to 340,834.40, 511,251.60 and 304,092.80 is: 456,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,834.40 : 511,251.60 = 304,092.80 : x
  2. Step 2: Convert to fraction form
    340,834.40/511,251.60 = 304,092.80/x
  3. Step 3: Cross multiply
    340,834.40x = 511,251.60 × 304,092.80
  4. Step 4: Simplify right side
    340,834.40x = 155,467,930,548.48
  5. Step 5: Solve for x
    x = 155,467,930,548.48/340,834.40
  6. Step 6: Final answer
    x = 456,139.20

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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.