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Finding the Fourth Proportional to 347,068, 478,954.16 and 188,092

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Solution

The fourth proportional to 347,068, 478,954.16 and 188,092 is: 259,567.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,068 : 478,954.16 = 188,092 : x
  2. Step 2: Convert to fraction form
    347,068/478,954.16 = 188,092/x
  3. Step 3: Cross multiply
    347,068x = 478,954.16 × 188,092
  4. Step 4: Simplify right side
    347,068x = 90,087,445,862.72
  5. Step 5: Solve for x
    x = 90,087,445,862.72/347,068
  6. Step 6: Final answer
    x = 259,567.13

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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.