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Finding the Fourth Proportional to 305,729.20, 458,593.80 and 206,196.40

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Solution

The fourth proportional to 305,729.20, 458,593.80 and 206,196.40 is: 309,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,729.20 : 458,593.80 = 206,196.40 : x
  2. Step 2: Convert to fraction form
    305,729.20/458,593.80 = 206,196.40/x
  3. Step 3: Cross multiply
    305,729.20x = 458,593.80 × 206,196.40
  4. Step 4: Simplify right side
    305,729.20x = 94,560,390,622.32
  5. Step 5: Solve for x
    x = 94,560,390,622.32/305,729.20
  6. Step 6: Final answer
    x = 309,294.60

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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.