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Finding the Fourth Proportional to 334,294.63, 461,318.27 and 187,117.42

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Solution

The fourth proportional to 334,294.63, 461,318.27 and 187,117.42 is: 258,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,294.63 : 461,318.27 = 187,117.42 : x
  2. Step 2: Convert to fraction form
    334,294.63/461,318.27 = 187,117.42/x
  3. Step 3: Cross multiply
    334,294.63x = 461,318.27 × 187,117.42
  4. Step 4: Simplify right side
    334,294.63x = 86,320,684,481.26
  5. Step 5: Solve for x
    x = 86,320,684,481.26/334,294.63
  6. Step 6: Final answer
    x = 258,217.39

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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.