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Finding the Fourth Proportional to 385,207.86, 531,601.38 and 210,789.79

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Solution

The fourth proportional to 385,207.86, 531,601.38 and 210,789.79 is: 290,897.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,207.86 : 531,601.38 = 210,789.79 : x
  2. Step 2: Convert to fraction form
    385,207.86/531,601.38 = 210,789.79/x
  3. Step 3: Cross multiply
    385,207.86x = 531,601.38 × 210,789.79
  4. Step 4: Simplify right side
    385,207.86x = 112,056,143,253.91
  5. Step 5: Solve for x
    x = 112,056,143,253.91/385,207.86
  6. Step 6: Final answer
    x = 290,897.86

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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.