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Finding the Fourth Proportional to 367,906.08, 507,712.17 and 214,953

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Solution

The fourth proportional to 367,906.08, 507,712.17 and 214,953 is: 296,636.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,906.08 : 507,712.17 = 214,953 : x
  2. Step 2: Convert to fraction form
    367,906.08/507,712.17 = 214,953/x
  3. Step 3: Cross multiply
    367,906.08x = 507,712.17 × 214,953
  4. Step 4: Simplify right side
    367,906.08x = 109,134,254,078.01
  5. Step 5: Solve for x
    x = 109,134,254,078.01/367,906.08
  6. Step 6: Final answer
    x = 296,636.18

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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.