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Finding the Fourth Proportional to 369,810.24, 510,337.89 and 200,044.38

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Solution

The fourth proportional to 369,810.24, 510,337.89 and 200,044.38 is: 276,061.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,810.24 : 510,337.89 = 200,044.38 : x
  2. Step 2: Convert to fraction form
    369,810.24/510,337.89 = 200,044.38/x
  3. Step 3: Cross multiply
    369,810.24x = 510,337.89 × 200,044.38
  4. Step 4: Simplify right side
    369,810.24x = 102,090,226,795.56
  5. Step 5: Solve for x
    x = 102,090,226,795.56/369,810.24
  6. Step 6: Final answer
    x = 276,061.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.