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Finding the Fourth Proportional to 503,532.96, 694,854.84 and 288,523.44

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Solution

The fourth proportional to 503,532.96, 694,854.84 and 288,523.44 is: 398,150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,532.96 : 694,854.84 = 288,523.44 : x
  2. Step 2: Convert to fraction form
    503,532.96/694,854.84 = 288,523.44/x
  3. Step 3: Cross multiply
    503,532.96x = 694,854.84 × 288,523.44
  4. Step 4: Simplify right side
    503,532.96x = 200,481,908,737.45
  5. Step 5: Solve for x
    x = 200,481,908,737.45/503,532.96
  6. Step 6: Final answer
    x = 398,150.52

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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.