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Finding the Fourth Proportional to 532,716.78, 735,137.06 and 291,000.42

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Solution

The fourth proportional to 532,716.78, 735,137.06 and 291,000.42 is: 401,573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,716.78 : 735,137.06 = 291,000.42 : x
  2. Step 2: Convert to fraction form
    532,716.78/735,137.06 = 291,000.42/x
  3. Step 3: Cross multiply
    532,716.78x = 735,137.06 × 291,000.42
  4. Step 4: Simplify right side
    532,716.78x = 213,925,193,217.57
  5. Step 5: Solve for x
    x = 213,925,193,217.57/532,716.78
  6. Step 6: Final answer
    x = 401,573.97

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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.