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Finding the Fourth Proportional to 471,767.70, 707,317.94 and 151,820.58

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Solution

The fourth proportional to 471,767.70, 707,317.94 and 151,820.58 is: 227,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,767.70 : 707,317.94 = 151,820.58 : x
  2. Step 2: Convert to fraction form
    471,767.70/707,317.94 = 151,820.58/x
  3. Step 3: Cross multiply
    471,767.70x = 707,317.94 × 151,820.58
  4. Step 4: Simplify right side
    471,767.70x = 107,385,419,895.21
  5. Step 5: Solve for x
    x = 107,385,419,895.21/471,767.70
  6. Step 6: Final answer
    x = 227,623.51

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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.