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Finding the Fourth Proportional to 391,695.50, 540,543.22 and 212,847.50

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Solution

The fourth proportional to 391,695.50, 540,543.22 and 212,847.50 is: 293,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,695.50 : 540,543.22 = 212,847.50 : x
  2. Step 2: Convert to fraction form
    391,695.50/540,543.22 = 212,847.50/x
  3. Step 3: Cross multiply
    391,695.50x = 540,543.22 × 212,847.50
  4. Step 4: Simplify right side
    391,695.50x = 115,053,273,018.95
  5. Step 5: Solve for x
    x = 115,053,273,018.95/391,695.50
  6. Step 6: Final answer
    x = 293,731.41

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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.