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Finding the Fourth Proportional to 474,522.96, 654,825.96 and 259,648.56

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Solution

The fourth proportional to 474,522.96, 654,825.96 and 259,648.56 is: 358,306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,522.96 : 654,825.96 = 259,648.56 : x
  2. Step 2: Convert to fraction form
    474,522.96/654,825.96 = 259,648.56/x
  3. Step 3: Cross multiply
    474,522.96x = 654,825.96 × 259,648.56
  4. Step 4: Simplify right side
    474,522.96x = 170,024,617,564.62
  5. Step 5: Solve for x
    x = 170,024,617,564.62/474,522.96
  6. Step 6: Final answer
    x = 358,306.41

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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.