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Finding the Fourth Proportional to 277,456.31, 416,203.26 and 97,519.86

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Solution

The fourth proportional to 277,456.31, 416,203.26 and 97,519.86 is: 146,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,456.31 : 416,203.26 = 97,519.86 : x
  2. Step 2: Convert to fraction form
    277,456.31/416,203.26 = 97,519.86/x
  3. Step 3: Cross multiply
    277,456.31x = 416,203.26 × 97,519.86
  4. Step 4: Simplify right side
    277,456.31x = 40,588,083,646.74
  5. Step 5: Solve for x
    x = 40,588,083,646.74/277,456.31
  6. Step 6: Final answer
    x = 146,286.40

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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.