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Finding the Fourth Proportional to 474,023.72, 654,151.06 and 259,163.40

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Solution

The fourth proportional to 474,023.72, 654,151.06 and 259,163.40 is: 357,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,023.72 : 654,151.06 = 259,163.40 : x
  2. Step 2: Convert to fraction form
    474,023.72/654,151.06 = 259,163.40/x
  3. Step 3: Cross multiply
    474,023.72x = 654,151.06 × 259,163.40
  4. Step 4: Simplify right side
    474,023.72x = 169,532,012,823.20
  5. Step 5: Solve for x
    x = 169,532,012,823.20/474,023.72
  6. Step 6: Final answer
    x = 357,644.58

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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.