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Finding the Fourth Proportional to 395,496.24, 593,453.54 and 215,711.47

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Solution

The fourth proportional to 395,496.24, 593,453.54 and 215,711.47 is: 323,681.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,496.24 : 593,453.54 = 215,711.47 : x
  2. Step 2: Convert to fraction form
    395,496.24/593,453.54 = 215,711.47/x
  3. Step 3: Cross multiply
    395,496.24x = 593,453.54 × 215,711.47
  4. Step 4: Simplify right side
    395,496.24x = 128,014,735,490.10
  5. Step 5: Solve for x
    x = 128,014,735,490.10/395,496.24
  6. Step 6: Final answer
    x = 323,681.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.