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Finding the Fourth Proportional to 502,809.02, 693,890.11 and 273,381.78

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Solution

The fourth proportional to 502,809.02, 693,890.11 and 273,381.78 is: 377,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,809.02 : 693,890.11 = 273,381.78 : x
  2. Step 2: Convert to fraction form
    502,809.02/693,890.11 = 273,381.78/x
  3. Step 3: Cross multiply
    502,809.02x = 693,890.11 × 273,381.78
  4. Step 4: Simplify right side
    502,809.02x = 189,696,916,340.01
  5. Step 5: Solve for x
    x = 189,696,916,340.01/502,809.02
  6. Step 6: Final answer
    x = 377,274.29

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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.