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Finding the Fourth Proportional to 532,919.92, 735,406.60 and 291,198.64

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Solution

The fourth proportional to 532,919.92, 735,406.60 and 291,198.64 is: 401,841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,919.92 : 735,406.60 = 291,198.64 : x
  2. Step 2: Convert to fraction form
    532,919.92/735,406.60 = 291,198.64/x
  3. Step 3: Cross multiply
    532,919.92x = 735,406.60 × 291,198.64
  4. Step 4: Simplify right side
    532,919.92x = 214,149,401,767.02
  5. Step 5: Solve for x
    x = 214,149,401,767.02/532,919.92
  6. Step 6: Final answer
    x = 401,841.62

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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.