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Finding the Fourth Proportional to 503,498.35, 694,770.74 and 296,753.23

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Solution

The fourth proportional to 503,498.35, 694,770.74 and 296,753.23 is: 409,485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,498.35 : 694,770.74 = 296,753.23 : x
  2. Step 2: Convert to fraction form
    503,498.35/694,770.74 = 296,753.23/x
  3. Step 3: Cross multiply
    503,498.35x = 694,770.74 × 296,753.23
  4. Step 4: Simplify right side
    503,498.35x = 206,175,459,720.72
  5. Step 5: Solve for x
    x = 206,175,459,720.72/503,498.35
  6. Step 6: Final answer
    x = 409,485.87

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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.