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Finding the Fourth Proportional to 367,669.74, 507,305.52 and 214,638.48

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Solution

The fourth proportional to 367,669.74, 507,305.52 and 214,638.48 is: 296,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,669.74 : 507,305.52 = 214,638.48 : x
  2. Step 2: Convert to fraction form
    367,669.74/507,305.52 = 214,638.48/x
  3. Step 3: Cross multiply
    367,669.74x = 507,305.52 × 214,638.48
  4. Step 4: Simplify right side
    367,669.74x = 108,887,285,708.41
  5. Step 5: Solve for x
    x = 108,887,285,708.41/367,669.74
  6. Step 6: Final answer
    x = 296,155.15

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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.