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Finding the Fourth Proportional to 354,211.66, 488,797.77 and 193,063.24

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Solution

The fourth proportional to 354,211.66, 488,797.77 and 193,063.24 is: 266,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,211.66 : 488,797.77 = 193,063.24 : x
  2. Step 2: Convert to fraction form
    354,211.66/488,797.77 = 193,063.24/x
  3. Step 3: Cross multiply
    354,211.66x = 488,797.77 × 193,063.24
  4. Step 4: Simplify right side
    354,211.66x = 94,368,881,180.97
  5. Step 5: Solve for x
    x = 94,368,881,180.97/354,211.66
  6. Step 6: Final answer
    x = 266,419.47

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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.