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Finding the Fourth Proportional to 386,872.53, 533,884.38 and 217,106.64

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Solution

The fourth proportional to 386,872.53, 533,884.38 and 217,106.64 is: 299,607.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,872.53 : 533,884.38 = 217,106.64 : x
  2. Step 2: Convert to fraction form
    386,872.53/533,884.38 = 217,106.64/x
  3. Step 3: Cross multiply
    386,872.53x = 533,884.38 × 217,106.64
  4. Step 4: Simplify right side
    386,872.53x = 115,909,843,890.28
  5. Step 5: Solve for x
    x = 115,909,843,890.28/386,872.53
  6. Step 6: Final answer
    x = 299,607.33

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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.