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Finding the Fourth Proportional to 397,208.88, 595,626.03 and 144,311.04

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Solution

The fourth proportional to 397,208.88, 595,626.03 and 144,311.04 is: 216,398.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,208.88 : 595,626.03 = 144,311.04 : x
  2. Step 2: Convert to fraction form
    397,208.88/595,626.03 = 144,311.04/x
  3. Step 3: Cross multiply
    397,208.88x = 595,626.03 × 144,311.04
  4. Step 4: Simplify right side
    397,208.88x = 85,955,411,840.37
  5. Step 5: Solve for x
    x = 85,955,411,840.37/397,208.88
  6. Step 6: Final answer
    x = 216,398.52

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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.