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Finding the Fourth Proportional to 385,804.38, 532,404.27 and 213,721.81

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Solution

The fourth proportional to 385,804.38, 532,404.27 and 213,721.81 is: 294,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,804.38 : 532,404.27 = 213,721.81 : x
  2. Step 2: Convert to fraction form
    385,804.38/532,404.27 = 213,721.81/x
  3. Step 3: Cross multiply
    385,804.38x = 532,404.27 × 213,721.81
  4. Step 4: Simplify right side
    385,804.38x = 113,786,402,905.12
  5. Step 5: Solve for x
    x = 113,786,402,905.12/385,804.38
  6. Step 6: Final answer
    x = 294,932.89

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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.