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Finding the Fourth Proportional to 294,814.71, 406,726.11 and 185,883.21

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Solution

The fourth proportional to 294,814.71, 406,726.11 and 185,883.21 is: 256,444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,814.71 : 406,726.11 = 185,883.21 : x
  2. Step 2: Convert to fraction form
    294,814.71/406,726.11 = 185,883.21/x
  3. Step 3: Cross multiply
    294,814.71x = 406,726.11 × 185,883.21
  4. Step 4: Simplify right side
    294,814.71x = 75,603,554,917.61
  5. Step 5: Solve for x
    x = 75,603,554,917.61/294,814.71
  6. Step 6: Final answer
    x = 256,444.31

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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.