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Finding the Fourth Proportional to 471,910.28, 651,246.08 and 257,049.81

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Solution

The fourth proportional to 471,910.28, 651,246.08 and 257,049.81 is: 354,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,910.28 : 651,246.08 = 257,049.81 : x
  2. Step 2: Convert to fraction form
    471,910.28/651,246.08 = 257,049.81/x
  3. Step 3: Cross multiply
    471,910.28x = 651,246.08 × 257,049.81
  4. Step 4: Simplify right side
    471,910.28x = 167,402,679,842.00
  5. Step 5: Solve for x
    x = 167,402,679,842.00/471,910.28
  6. Step 6: Final answer
    x = 354,734.13

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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.