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Finding the Fourth Proportional to 376,492.80, 565,660.80 and 283,180.80

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Solution

The fourth proportional to 376,492.80, 565,660.80 and 283,180.80 is: 425,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,492.80 : 565,660.80 = 283,180.80 : x
  2. Step 2: Convert to fraction form
    376,492.80/565,660.80 = 283,180.80/x
  3. Step 3: Cross multiply
    376,492.80x = 565,660.80 × 283,180.80
  4. Step 4: Simplify right side
    376,492.80x = 160,184,277,872.64
  5. Step 5: Solve for x
    x = 160,184,277,872.64/376,492.80
  6. Step 6: Final answer
    x = 425,464.39

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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.