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Finding the Fourth Proportional to 367,922.71, 507,644.65 and 214,874.02

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Solution

The fourth proportional to 367,922.71, 507,644.65 and 214,874.02 is: 296,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,922.71 : 507,644.65 = 214,874.02 : x
  2. Step 2: Convert to fraction form
    367,922.71/507,644.65 = 214,874.02/x
  3. Step 3: Cross multiply
    367,922.71x = 507,644.65 × 214,874.02
  4. Step 4: Simplify right side
    367,922.71x = 109,079,646,676.99
  5. Step 5: Solve for x
    x = 109,079,646,676.99/367,922.71
  6. Step 6: Final answer
    x = 296,474.35

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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.