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Finding the Fourth Proportional to 397,969.32, 597,018.78 and 117,514.92

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Solution

The fourth proportional to 397,969.32, 597,018.78 and 117,514.92 is: 176,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,969.32 : 597,018.78 = 117,514.92 : x
  2. Step 2: Convert to fraction form
    397,969.32/597,018.78 = 117,514.92/x
  3. Step 3: Cross multiply
    397,969.32x = 597,018.78 × 117,514.92
  4. Step 4: Simplify right side
    397,969.32x = 70,158,614,170.20
  5. Step 5: Solve for x
    x = 70,158,614,170.20/397,969.32
  6. Step 6: Final answer
    x = 176,291.51

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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.