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Finding the Fourth Proportional to 380,188.76, 524,777.40 and 219,151.44

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Solution

The fourth proportional to 380,188.76, 524,777.40 and 219,151.44 is: 302,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,188.76 : 524,777.40 = 219,151.44 : x
  2. Step 2: Convert to fraction form
    380,188.76/524,777.40 = 219,151.44/x
  3. Step 3: Cross multiply
    380,188.76x = 524,777.40 × 219,151.44
  4. Step 4: Simplify right side
    380,188.76x = 115,005,722,889.46
  5. Step 5: Solve for x
    x = 115,005,722,889.46/380,188.76
  6. Step 6: Final answer
    x = 302,496.38

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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.