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Finding the Fourth Proportional to 314,906.32, 472,632.45 and 165,252.34

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Solution

The fourth proportional to 314,906.32, 472,632.45 and 165,252.34 is: 248,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,906.32 : 472,632.45 = 165,252.34 : x
  2. Step 2: Convert to fraction form
    314,906.32/472,632.45 = 165,252.34/x
  3. Step 3: Cross multiply
    314,906.32x = 472,632.45 × 165,252.34
  4. Step 4: Simplify right side
    314,906.32x = 78,103,618,322.43
  5. Step 5: Solve for x
    x = 78,103,618,322.43/314,906.32
  6. Step 6: Final answer
    x = 248,021.76

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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.