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Finding the Fourth Proportional to 378,882.48, 523,046.88 and 235,688.64

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Solution

The fourth proportional to 378,882.48, 523,046.88 and 235,688.64 is: 325,367.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,882.48 : 523,046.88 = 235,688.64 : x
  2. Step 2: Convert to fraction form
    378,882.48/523,046.88 = 235,688.64/x
  3. Step 3: Cross multiply
    378,882.48x = 523,046.88 × 235,688.64
  4. Step 4: Simplify right side
    378,882.48x = 123,276,207,803.44
  5. Step 5: Solve for x
    x = 123,276,207,803.44/378,882.48
  6. Step 6: Final answer
    x = 325,367.93

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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.