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Finding the Fourth Proportional to 471,697.20, 707,513.40 and 151,844.40

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Solution

The fourth proportional to 471,697.20, 707,513.40 and 151,844.40 is: 227,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,697.20 : 707,513.40 = 151,844.40 : x
  2. Step 2: Convert to fraction form
    471,697.20/707,513.40 = 151,844.40/x
  3. Step 3: Cross multiply
    471,697.20x = 707,513.40 × 151,844.40
  4. Step 4: Simplify right side
    471,697.20x = 107,431,947,714.96
  5. Step 5: Solve for x
    x = 107,431,947,714.96/471,697.20
  6. Step 6: Final answer
    x = 227,756.17

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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.