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Finding the Fourth Proportional to 537,695.42, 806,542.99 and 200,762.35

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Solution

The fourth proportional to 537,695.42, 806,542.99 and 200,762.35 is: 301,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,695.42 : 806,542.99 = 200,762.35 : x
  2. Step 2: Convert to fraction form
    537,695.42/806,542.99 = 200,762.35/x
  3. Step 3: Cross multiply
    537,695.42x = 806,542.99 × 200,762.35
  4. Step 4: Simplify right side
    537,695.42x = 161,923,466,048.43
  5. Step 5: Solve for x
    x = 161,923,466,048.43/537,695.42
  6. Step 6: Final answer
    x = 301,143.47

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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.