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Finding the Fourth Proportional to 367,102.53, 506,602.89 and 214,246.31

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Solution

The fourth proportional to 367,102.53, 506,602.89 and 214,246.31 is: 295,660.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,102.53 : 506,602.89 = 214,246.31 : x
  2. Step 2: Convert to fraction form
    367,102.53/506,602.89 = 214,246.31/x
  3. Step 3: Cross multiply
    367,102.53x = 506,602.89 × 214,246.31
  4. Step 4: Simplify right side
    367,102.53x = 108,537,797,284.82
  5. Step 5: Solve for x
    x = 108,537,797,284.82/367,102.53
  6. Step 6: Final answer
    x = 295,660.72

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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.