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Finding the Fourth Proportional to 319,101.20, 478,133.40 and 200,560.40

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Solution

The fourth proportional to 319,101.20, 478,133.40 and 200,560.40 is: 300,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,101.20 : 478,133.40 = 200,560.40 : x
  2. Step 2: Convert to fraction form
    319,101.20/478,133.40 = 200,560.40/x
  3. Step 3: Cross multiply
    319,101.20x = 478,133.40 × 200,560.40
  4. Step 4: Simplify right side
    319,101.20x = 95,894,625,957.36
  5. Step 5: Solve for x
    x = 95,894,625,957.36/319,101.20
  6. Step 6: Final answer
    x = 300,514.78

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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.