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Finding the Fourth Proportional to 364,605.95, 502,954.03 and 213,673.79

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Solution

The fourth proportional to 364,605.95, 502,954.03 and 213,673.79 is: 294,751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,605.95 : 502,954.03 = 213,673.79 : x
  2. Step 2: Convert to fraction form
    364,605.95/502,954.03 = 213,673.79/x
  3. Step 3: Cross multiply
    364,605.95x = 502,954.03 × 213,673.79
  4. Step 4: Simplify right side
    364,605.95x = 107,468,093,785.87
  5. Step 5: Solve for x
    x = 107,468,093,785.87/364,605.95
  6. Step 6: Final answer
    x = 294,751.34

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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.