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Finding the Fourth Proportional to 563,085, 844,452.74 and 203,209.12

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Solution

The fourth proportional to 563,085, 844,452.74 and 203,209.12 is: 304,750.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,085 : 844,452.74 = 203,209.12 : x
  2. Step 2: Convert to fraction form
    563,085/844,452.74 = 203,209.12/x
  3. Step 3: Cross multiply
    563,085x = 844,452.74 × 203,209.12
  4. Step 4: Simplify right side
    563,085x = 171,600,498,176.99
  5. Step 5: Solve for x
    x = 171,600,498,176.99/563,085
  6. Step 6: Final answer
    x = 304,750.61

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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.