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Finding the Fourth Proportional to 502,998.94, 694,143.20 and 273,558.40

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Solution

The fourth proportional to 502,998.94, 694,143.20 and 273,558.40 is: 377,513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,998.94 : 694,143.20 = 273,558.40 : x
  2. Step 2: Convert to fraction form
    502,998.94/694,143.20 = 273,558.40/x
  3. Step 3: Cross multiply
    502,998.94x = 694,143.20 × 273,558.40
  4. Step 4: Simplify right side
    502,998.94x = 189,888,698,324.37
  5. Step 5: Solve for x
    x = 189,888,698,324.37/502,998.94
  6. Step 6: Final answer
    x = 377,513.12

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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.