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Finding the Fourth Proportional to 471,080.76, 706,643 and 151,245.66

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Solution

The fourth proportional to 471,080.76, 706,643 and 151,245.66 is: 226,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,080.76 : 706,643 = 151,245.66 : x
  2. Step 2: Convert to fraction form
    471,080.76/706,643 = 151,245.66/x
  3. Step 3: Cross multiply
    471,080.76x = 706,643 × 151,245.66
  4. Step 4: Simplify right side
    471,080.76x = 106,876,686,919.38
  5. Step 5: Solve for x
    x = 106,876,686,919.38/471,080.76
  6. Step 6: Final answer
    x = 226,875.51

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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.