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Finding the Fourth Proportional to 364,545.20, 502,870.20 and 213,613.04

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Solution

The fourth proportional to 364,545.20, 502,870.20 and 213,613.04 is: 294,667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,545.20 : 502,870.20 = 213,613.04 : x
  2. Step 2: Convert to fraction form
    364,545.20/502,870.20 = 213,613.04/x
  3. Step 3: Cross multiply
    364,545.20x = 502,870.20 × 213,613.04
  4. Step 4: Simplify right side
    364,545.20x = 107,419,632,147.41
  5. Step 5: Solve for x
    x = 107,419,632,147.41/364,545.20
  6. Step 6: Final answer
    x = 294,667.53

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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.