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Finding the Fourth Proportional to 520,838.16, 780,453.12 and 351,695.60

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Solution

The fourth proportional to 520,838.16, 780,453.12 and 351,695.60 is: 527,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,838.16 : 780,453.12 = 351,695.60 : x
  2. Step 2: Convert to fraction form
    520,838.16/780,453.12 = 351,695.60/x
  3. Step 3: Cross multiply
    520,838.16x = 780,453.12 × 351,695.60
  4. Step 4: Simplify right side
    520,838.16x = 274,481,928,310.27
  5. Step 5: Solve for x
    x = 274,481,928,310.27/520,838.16
  6. Step 6: Final answer
    x = 527,000.42

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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.