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Finding the Fourth Proportional to 537,224.81, 805,775.72 and 200,276.55

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Solution

The fourth proportional to 537,224.81, 805,775.72 and 200,276.55 is: 300,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,224.81 : 805,775.72 = 200,276.55 : x
  2. Step 2: Convert to fraction form
    537,224.81/805,775.72 = 200,276.55/x
  3. Step 3: Cross multiply
    537,224.81x = 805,775.72 × 200,276.55
  4. Step 4: Simplify right side
    537,224.81x = 161,377,980,273.98
  5. Step 5: Solve for x
    x = 161,377,980,273.98/537,224.81
  6. Step 6: Final answer
    x = 300,391.90

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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.