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Finding the Fourth Proportional to 687,197.32, 948,331.38 and 385,388.68

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Solution

The fourth proportional to 687,197.32, 948,331.38 and 385,388.68 is: 531,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,197.32 : 948,331.38 = 385,388.68 : x
  2. Step 2: Convert to fraction form
    687,197.32/948,331.38 = 385,388.68/x
  3. Step 3: Cross multiply
    687,197.32x = 948,331.38 × 385,388.68
  4. Step 4: Simplify right side
    687,197.32x = 365,476,178,740.78
  5. Step 5: Solve for x
    x = 365,476,178,740.78/687,197.32
  6. Step 6: Final answer
    x = 531,835.86

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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.