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Finding the Fourth Proportional to 299,981.80, 449,972.70 and 209,780.20

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Solution

The fourth proportional to 299,981.80, 449,972.70 and 209,780.20 is: 314,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,981.80 : 449,972.70 = 209,780.20 : x
  2. Step 2: Convert to fraction form
    299,981.80/449,972.70 = 209,780.20/x
  3. Step 3: Cross multiply
    299,981.80x = 449,972.70 × 209,780.20
  4. Step 4: Simplify right side
    299,981.80x = 94,395,363,000.54
  5. Step 5: Solve for x
    x = 94,395,363,000.54/299,981.80
  6. Step 6: Final answer
    x = 314,670.30

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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.