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Finding the Fourth Proportional to 294,785.12, 406,869 and 187,334

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Solution

The fourth proportional to 294,785.12, 406,869 and 187,334 is: 258,562.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,785.12 : 406,869 = 187,334 : x
  2. Step 2: Convert to fraction form
    294,785.12/406,869 = 187,334/x
  3. Step 3: Cross multiply
    294,785.12x = 406,869 × 187,334
  4. Step 4: Simplify right side
    294,785.12x = 76,220,397,246
  5. Step 5: Solve for x
    x = 76,220,397,246/294,785.12
  6. Step 6: Final answer
    x = 258,562.57

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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.