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Finding the Fourth Proportional to 532,906.30, 735,388.77 and 291,197.17

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Solution

The fourth proportional to 532,906.30, 735,388.77 and 291,197.17 is: 401,840.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,906.30 : 735,388.77 = 291,197.17 : x
  2. Step 2: Convert to fraction form
    532,906.30/735,388.77 = 291,197.17/x
  3. Step 3: Cross multiply
    532,906.30x = 735,388.77 × 291,197.17
  4. Step 4: Simplify right side
    532,906.30x = 214,143,128,673.78
  5. Step 5: Solve for x
    x = 214,143,128,673.78/532,906.30
  6. Step 6: Final answer
    x = 401,840.11

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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.