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Finding the Fourth Proportional to 520,664.58, 780,105.32 and 284,173.20

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Solution

The fourth proportional to 520,664.58, 780,105.32 and 284,173.20 is: 425,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,664.58 : 780,105.32 = 284,173.20 : x
  2. Step 2: Convert to fraction form
    520,664.58/780,105.32 = 284,173.20/x
  3. Step 3: Cross multiply
    520,664.58x = 780,105.32 × 284,173.20
  4. Step 4: Simplify right side
    520,664.58x = 221,685,025,121.42
  5. Step 5: Solve for x
    x = 221,685,025,121.42/520,664.58
  6. Step 6: Final answer
    x = 425,773.20

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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.