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Finding the Fourth Proportional to 471,837.30, 708,200.37 and 314,175.66

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Solution

The fourth proportional to 471,837.30, 708,200.37 and 314,175.66 is: 471,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,837.30 : 708,200.37 = 314,175.66 : x
  2. Step 2: Convert to fraction form
    471,837.30/708,200.37 = 314,175.66/x
  3. Step 3: Cross multiply
    471,837.30x = 708,200.37 × 314,175.66
  4. Step 4: Simplify right side
    471,837.30x = 222,499,318,656.99
  5. Step 5: Solve for x
    x = 222,499,318,656.99/471,837.30
  6. Step 6: Final answer
    x = 471,559.41

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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.