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Finding the Fourth Proportional to 397,593.16, 596,027.22 and 255,477.04

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Solution

The fourth proportional to 397,593.16, 596,027.22 and 255,477.04 is: 382,982.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,593.16 : 596,027.22 = 255,477.04 : x
  2. Step 2: Convert to fraction form
    397,593.16/596,027.22 = 255,477.04/x
  3. Step 3: Cross multiply
    397,593.16x = 596,027.22 × 255,477.04
  4. Step 4: Simplify right side
    397,593.16x = 152,271,269,925.03
  5. Step 5: Solve for x
    x = 152,271,269,925.03/397,593.16
  6. Step 6: Final answer
    x = 382,982.62

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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.