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Finding the Fourth Proportional to 461,264.96, 691,981.08 and 208,664.44

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Solution

The fourth proportional to 461,264.96, 691,981.08 and 208,664.44 is: 313,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,264.96 : 691,981.08 = 208,664.44 : x
  2. Step 2: Convert to fraction form
    461,264.96/691,981.08 = 208,664.44/x
  3. Step 3: Cross multiply
    461,264.96x = 691,981.08 × 208,664.44
  4. Step 4: Simplify right side
    461,264.96x = 144,391,844,548.80
  5. Step 5: Solve for x
    x = 144,391,844,548.80/461,264.96
  6. Step 6: Final answer
    x = 313,034.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.