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Finding the Fourth Proportional to 377,144.80, 565,717.20 and 325,823.20

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Solution

The fourth proportional to 377,144.80, 565,717.20 and 325,823.20 is: 488,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,144.80 : 565,717.20 = 325,823.20 : x
  2. Step 2: Convert to fraction form
    377,144.80/565,717.20 = 325,823.20/x
  3. Step 3: Cross multiply
    377,144.80x = 565,717.20 × 325,823.20
  4. Step 4: Simplify right side
    377,144.80x = 184,323,788,399.04
  5. Step 5: Solve for x
    x = 184,323,788,399.04/377,144.80
  6. Step 6: Final answer
    x = 488,734.80

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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.