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Finding the Fourth Proportional to 529,781.54, 731,093.20 and 288,064.17

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Solution

The fourth proportional to 529,781.54, 731,093.20 and 288,064.17 is: 397,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,781.54 : 731,093.20 = 288,064.17 : x
  2. Step 2: Convert to fraction form
    529,781.54/731,093.20 = 288,064.17/x
  3. Step 3: Cross multiply
    529,781.54x = 731,093.20 × 288,064.17
  4. Step 4: Simplify right side
    529,781.54x = 210,601,755,130.48
  5. Step 5: Solve for x
    x = 210,601,755,130.48/529,781.54
  6. Step 6: Final answer
    x = 397,525.66

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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.