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Finding the Fourth Proportional to 413,514.74, 620,515.86 and 173,670.72

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Solution

The fourth proportional to 413,514.74, 620,515.86 and 173,670.72 is: 260,608.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,514.74 : 620,515.86 = 173,670.72 : x
  2. Step 2: Convert to fraction form
    413,514.74/620,515.86 = 173,670.72/x
  3. Step 3: Cross multiply
    413,514.74x = 620,515.86 × 173,670.72
  4. Step 4: Simplify right side
    413,514.74x = 107,765,436,177.62
  5. Step 5: Solve for x
    x = 107,765,436,177.62/413,514.74
  6. Step 6: Final answer
    x = 260,608.45

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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.