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Finding the Fourth Proportional to 483,698.92, 725,794.14 and 217,405.80

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Solution

The fourth proportional to 483,698.92, 725,794.14 and 217,405.80 is: 326,219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,698.92 : 725,794.14 = 217,405.80 : x
  2. Step 2: Convert to fraction form
    483,698.92/725,794.14 = 217,405.80/x
  3. Step 3: Cross multiply
    483,698.92x = 725,794.14 × 217,405.80
  4. Step 4: Simplify right side
    483,698.92x = 157,791,855,642.01
  5. Step 5: Solve for x
    x = 157,791,855,642.01/483,698.92
  6. Step 6: Final answer
    x = 326,219.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.