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Finding the Fourth Proportional to 310,493.08, 428,229.84 and 208,487.80

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Solution

The fourth proportional to 310,493.08, 428,229.84 and 208,487.80 is: 287,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,493.08 : 428,229.84 = 208,487.80 : x
  2. Step 2: Convert to fraction form
    310,493.08/428,229.84 = 208,487.80/x
  3. Step 3: Cross multiply
    310,493.08x = 428,229.84 × 208,487.80
  4. Step 4: Simplify right side
    310,493.08x = 89,280,697,235.95
  5. Step 5: Solve for x
    x = 89,280,697,235.95/310,493.08
  6. Step 6: Final answer
    x = 287,544.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.