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Finding the Fourth Proportional to 352,902, 487,004.76 and 193,926

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Solution

The fourth proportional to 352,902, 487,004.76 and 193,926 is: 267,617.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,902 : 487,004.76 = 193,926 : x
  2. Step 2: Convert to fraction form
    352,902/487,004.76 = 193,926/x
  3. Step 3: Cross multiply
    352,902x = 487,004.76 × 193,926
  4. Step 4: Simplify right side
    352,902x = 94,442,885,087.76
  5. Step 5: Solve for x
    x = 94,442,885,087.76/352,902
  6. Step 6: Final answer
    x = 267,617.88

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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.