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Finding the Fourth Proportional to 530,593.41, 732,219.02 and 288,876

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Solution

The fourth proportional to 530,593.41, 732,219.02 and 288,876 is: 398,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,593.41 : 732,219.02 = 288,876 : x
  2. Step 2: Convert to fraction form
    530,593.41/732,219.02 = 288,876/x
  3. Step 3: Cross multiply
    530,593.41x = 732,219.02 × 288,876
  4. Step 4: Simplify right side
    530,593.41x = 211,520,500,177.14
  5. Step 5: Solve for x
    x = 211,520,500,177.14/530,593.41
  6. Step 6: Final answer
    x = 398,648.94

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