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Finding the Fourth Proportional to 471,552.21, 650,742.12 and 256,693.91

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Solution

The fourth proportional to 471,552.21, 650,742.12 and 256,693.91 is: 354,237.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,552.21 : 650,742.12 = 256,693.91 : x
  2. Step 2: Convert to fraction form
    471,552.21/650,742.12 = 256,693.91/x
  3. Step 3: Cross multiply
    471,552.21x = 650,742.12 × 256,693.91
  4. Step 4: Simplify right side
    471,552.21x = 167,041,535,930.78
  5. Step 5: Solve for x
    x = 167,041,535,930.78/471,552.21
  6. Step 6: Final answer
    x = 354,237.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.