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Finding the Fourth Proportional to 354,188.34, 488,780.28 and 193,043.52

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Solution

The fourth proportional to 354,188.34, 488,780.28 and 193,043.52 is: 266,400.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,188.34 : 488,780.28 = 193,043.52 : x
  2. Step 2: Convert to fraction form
    354,188.34/488,780.28 = 193,043.52/x
  3. Step 3: Cross multiply
    354,188.34x = 488,780.28 × 193,043.52
  4. Step 4: Simplify right side
    354,188.34x = 94,355,865,757.79
  5. Step 5: Solve for x
    x = 94,355,865,757.79/354,188.34
  6. Step 6: Final answer
    x = 266,400.26

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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.