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Finding the Fourth Proportional to 367,095.80, 506,593.57 and 214,239.53

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Solution

The fourth proportional to 367,095.80, 506,593.57 and 214,239.53 is: 295,651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,095.80 : 506,593.57 = 214,239.53 : x
  2. Step 2: Convert to fraction form
    367,095.80/506,593.57 = 214,239.53/x
  3. Step 3: Cross multiply
    367,095.80x = 506,593.57 × 214,239.53
  4. Step 4: Simplify right side
    367,095.80x = 108,532,368,867.86
  5. Step 5: Solve for x
    x = 108,532,368,867.86/367,095.80
  6. Step 6: Final answer
    x = 295,651.35

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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.