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Finding the Fourth Proportional to 275,508.74, 413,422.55 and 115,570.35

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Solution

The fourth proportional to 275,508.74, 413,422.55 and 115,570.35 is: 173,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,508.74 : 413,422.55 = 115,570.35 : x
  2. Step 2: Convert to fraction form
    275,508.74/413,422.55 = 115,570.35/x
  3. Step 3: Cross multiply
    275,508.74x = 413,422.55 × 115,570.35
  4. Step 4: Simplify right side
    275,508.74x = 47,779,390,123.87
  5. Step 5: Solve for x
    x = 47,779,390,123.87/275,508.74
  6. Step 6: Final answer
    x = 173,422.41

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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.