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Finding the Fourth Proportional to 474,255.42, 654,488.06 and 259,395.49

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Solution

The fourth proportional to 474,255.42, 654,488.06 and 259,395.49 is: 357,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,255.42 : 654,488.06 = 259,395.49 : x
  2. Step 2: Convert to fraction form
    474,255.42/654,488.06 = 259,395.49/x
  3. Step 3: Cross multiply
    474,255.42x = 654,488.06 × 259,395.49
  4. Step 4: Simplify right side
    474,255.42x = 169,771,246,453.43
  5. Step 5: Solve for x
    x = 169,771,246,453.43/474,255.42
  6. Step 6: Final answer
    x = 357,974.29

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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.