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Finding the Fourth Proportional to 598,616.30, 897,967.65 and 361,448.30

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Solution

The fourth proportional to 598,616.30, 897,967.65 and 361,448.30 is: 542,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,616.30 : 897,967.65 = 361,448.30 : x
  2. Step 2: Convert to fraction form
    598,616.30/897,967.65 = 361,448.30/x
  3. Step 3: Cross multiply
    598,616.30x = 897,967.65 × 361,448.30
  4. Step 4: Simplify right side
    598,616.30x = 324,568,880,547.50
  5. Step 5: Solve for x
    x = 324,568,880,547.50/598,616.30
  6. Step 6: Final answer
    x = 542,198.53

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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.