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Finding the Fourth Proportional to 537,308.48, 805,963.26 and 200,343.98

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Solution

The fourth proportional to 537,308.48, 805,963.26 and 200,343.98 is: 300,516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,308.48 : 805,963.26 = 200,343.98 : x
  2. Step 2: Convert to fraction form
    537,308.48/805,963.26 = 200,343.98/x
  3. Step 3: Cross multiply
    537,308.48x = 805,963.26 × 200,343.98
  4. Step 4: Simplify right side
    537,308.48x = 161,469,887,242.18
  5. Step 5: Solve for x
    x = 161,469,887,242.18/537,308.48
  6. Step 6: Final answer
    x = 300,516.17

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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.