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Finding the Fourth Proportional to 474,586.74, 654,920.94 and 259,722.48

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Solution

The fourth proportional to 474,586.74, 654,920.94 and 259,722.48 is: 358,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,586.74 : 654,920.94 = 259,722.48 : x
  2. Step 2: Convert to fraction form
    474,586.74/654,920.94 = 259,722.48/x
  3. Step 3: Cross multiply
    474,586.74x = 654,920.94 × 259,722.48
  4. Step 4: Simplify right side
    474,586.74x = 170,097,690,740.73
  5. Step 5: Solve for x
    x = 170,097,690,740.73/474,586.74
  6. Step 6: Final answer
    x = 358,412.23

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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.