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Finding the Fourth Proportional to 319,751.29, 479,514.34 and 106,461.28

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Solution

The fourth proportional to 319,751.29, 479,514.34 and 106,461.28 is: 159,654.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,751.29 : 479,514.34 = 106,461.28 : x
  2. Step 2: Convert to fraction form
    319,751.29/479,514.34 = 106,461.28/x
  3. Step 3: Cross multiply
    319,751.29x = 479,514.34 × 106,461.28
  4. Step 4: Simplify right side
    319,751.29x = 51,049,710,414.76
  5. Step 5: Solve for x
    x = 51,049,710,414.76/319,751.29
  6. Step 6: Final answer
    x = 159,654.43

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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.