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Finding the Fourth Proportional to 354,149.64, 488,712.24 and 193,001.24

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Solution

The fourth proportional to 354,149.64, 488,712.24 and 193,001.24 is: 266,333.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,149.64 : 488,712.24 = 193,001.24 : x
  2. Step 2: Convert to fraction form
    354,149.64/488,712.24 = 193,001.24/x
  3. Step 3: Cross multiply
    354,149.64x = 488,712.24 × 193,001.24
  4. Step 4: Simplify right side
    354,149.64x = 94,322,068,323.18
  5. Step 5: Solve for x
    x = 94,322,068,323.18/354,149.64
  6. Step 6: Final answer
    x = 266,333.94

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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.