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Finding the Fourth Proportional to 354,174.94, 488,747.16 and 193,026.52

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Solution

The fourth proportional to 354,174.94, 488,747.16 and 193,026.52 is: 266,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,174.94 : 488,747.16 = 193,026.52 : x
  2. Step 2: Convert to fraction form
    354,174.94/488,747.16 = 193,026.52/x
  3. Step 3: Cross multiply
    354,174.94x = 488,747.16 × 193,026.52
  4. Step 4: Simplify right side
    354,174.94x = 94,341,163,454.68
  5. Step 5: Solve for x
    x = 94,341,163,454.68/354,174.94
  6. Step 6: Final answer
    x = 266,368.83

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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.