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Finding the Fourth Proportional to 354,182.28, 488,781.93 and 193,047.78

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Solution

The fourth proportional to 354,182.28, 488,781.93 and 193,047.78 is: 266,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,182.28 : 488,781.93 = 193,047.78 : x
  2. Step 2: Convert to fraction form
    354,182.28/488,781.93 = 193,047.78/x
  3. Step 3: Cross multiply
    354,182.28x = 488,781.93 × 193,047.78
  4. Step 4: Simplify right side
    354,182.28x = 94,358,266,490.62
  5. Step 5: Solve for x
    x = 94,358,266,490.62/354,182.28
  6. Step 6: Final answer
    x = 266,411.60

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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.