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Finding the Fourth Proportional to 228,471, 314,726.62 and 194,370.27

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Solution

The fourth proportional to 228,471, 314,726.62 and 194,370.27 is: 267,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,471 : 314,726.62 = 194,370.27 : x
  2. Step 2: Convert to fraction form
    228,471/314,726.62 = 194,370.27/x
  3. Step 3: Cross multiply
    228,471x = 314,726.62 × 194,370.27
  4. Step 4: Simplify right side
    228,471x = 61,173,498,105.59
  5. Step 5: Solve for x
    x = 61,173,498,105.59/228,471
  6. Step 6: Final answer
    x = 267,751.70

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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.