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Finding the Fourth Proportional to 397,592.48, 596,184.41 and 117,073.28

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Solution

The fourth proportional to 397,592.48, 596,184.41 and 117,073.28 is: 175,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,592.48 : 596,184.41 = 117,073.28 : x
  2. Step 2: Convert to fraction form
    397,592.48/596,184.41 = 117,073.28/x
  3. Step 3: Cross multiply
    397,592.48x = 596,184.41 × 117,073.28
  4. Step 4: Simplify right side
    397,592.48x = 69,797,261,675.33
  5. Step 5: Solve for x
    x = 69,797,261,675.33/397,592.48
  6. Step 6: Final answer
    x = 175,549.76

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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.