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Finding the Fourth Proportional to 503,533.96, 694,856.22 and 288,524.44

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Solution

The fourth proportional to 503,533.96, 694,856.22 and 288,524.44 is: 398,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,533.96 : 694,856.22 = 288,524.44 : x
  2. Step 2: Convert to fraction form
    503,533.96/694,856.22 = 288,524.44/x
  3. Step 3: Cross multiply
    503,533.96x = 694,856.22 × 288,524.44
  4. Step 4: Simplify right side
    503,533.96x = 200,483,001,756.02
  5. Step 5: Solve for x
    x = 200,483,001,756.02/503,533.96
  6. Step 6: Final answer
    x = 398,151.90

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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.