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Finding the Fourth Proportional to 537,670.20, 806,942.70 and 520,174.20

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Solution

The fourth proportional to 537,670.20, 806,942.70 and 520,174.20 is: 780,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,670.20 : 806,942.70 = 520,174.20 : x
  2. Step 2: Convert to fraction form
    537,670.20/806,942.70 = 520,174.20/x
  3. Step 3: Cross multiply
    537,670.20x = 806,942.70 × 520,174.20
  4. Step 4: Simplify right side
    537,670.20x = 419,750,773,418.34
  5. Step 5: Solve for x
    x = 419,750,773,418.34/537,670.20
  6. Step 6: Final answer
    x = 780,684.47

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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.