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Finding the Fourth Proportional to 367,889.71, 507,826.54 and 214,977.61

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Solution

The fourth proportional to 367,889.71, 507,826.54 and 214,977.61 is: 296,750.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,889.71 : 507,826.54 = 214,977.61 : x
  2. Step 2: Convert to fraction form
    367,889.71/507,826.54 = 214,977.61/x
  3. Step 3: Cross multiply
    367,889.71x = 507,826.54 × 214,977.61
  4. Step 4: Simplify right side
    367,889.71x = 109,171,335,863.77
  5. Step 5: Solve for x
    x = 109,171,335,863.77/367,889.71
  6. Step 6: Final answer
    x = 296,750.18

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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.