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Finding the Fourth Proportional to 538,125.39, 806,634.32 and 238,746.96

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Solution

The fourth proportional to 538,125.39, 806,634.32 and 238,746.96 is: 357,874.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,125.39 : 806,634.32 = 238,746.96 : x
  2. Step 2: Convert to fraction form
    538,125.39/806,634.32 = 238,746.96/x
  3. Step 3: Cross multiply
    538,125.39x = 806,634.32 × 238,746.96
  4. Step 4: Simplify right side
    538,125.39x = 192,581,490,537.93
  5. Step 5: Solve for x
    x = 192,581,490,537.93/538,125.39
  6. Step 6: Final answer
    x = 357,874.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.