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Finding the Fourth Proportional to 425,204, 586,781.52 and 234,216.80

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Solution

The fourth proportional to 425,204, 586,781.52 and 234,216.80 is: 323,219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,204 : 586,781.52 = 234,216.80 : x
  2. Step 2: Convert to fraction form
    425,204/586,781.52 = 234,216.80/x
  3. Step 3: Cross multiply
    425,204x = 586,781.52 × 234,216.80
  4. Step 4: Simplify right side
    425,204x = 137,434,089,913.54
  5. Step 5: Solve for x
    x = 137,434,089,913.54/425,204
  6. Step 6: Final answer
    x = 323,219.18

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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.