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Finding the Fourth Proportional to 367,909.60, 507,717.24 and 214,956.76

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Solution

The fourth proportional to 367,909.60, 507,717.24 and 214,956.76 is: 296,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,909.60 : 507,717.24 = 214,956.76 : x
  2. Step 2: Convert to fraction form
    367,909.60/507,717.24 = 214,956.76/x
  3. Step 3: Cross multiply
    367,909.60x = 507,717.24 × 214,956.76
  4. Step 4: Simplify right side
    367,909.60x = 109,137,252,906.54
  5. Step 5: Solve for x
    x = 109,137,252,906.54/367,909.60
  6. Step 6: Final answer
    x = 296,641.49

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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.