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Finding the Fourth Proportional to 339,974.80, 509,962.20 and 280,877.20

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Solution

The fourth proportional to 339,974.80, 509,962.20 and 280,877.20 is: 421,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,974.80 : 509,962.20 = 280,877.20 : x
  2. Step 2: Convert to fraction form
    339,974.80/509,962.20 = 280,877.20/x
  3. Step 3: Cross multiply
    339,974.80x = 509,962.20 × 280,877.20
  4. Step 4: Simplify right side
    339,974.80x = 143,236,754,841.84
  5. Step 5: Solve for x
    x = 143,236,754,841.84/339,974.80
  6. Step 6: Final answer
    x = 421,315.80

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1.5x scale

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.