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Finding the Fourth Proportional to 367,921.71, 507,643.28 and 214,873.02

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Solution

The fourth proportional to 367,921.71, 507,643.28 and 214,873.02 is: 296,472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,921.71 : 507,643.28 = 214,873.02 : x
  2. Step 2: Convert to fraction form
    367,921.71/507,643.28 = 214,873.02/x
  3. Step 3: Cross multiply
    367,921.71x = 507,643.28 × 214,873.02
  4. Step 4: Simplify right side
    367,921.71x = 109,078,843,581.94
  5. Step 5: Solve for x
    x = 109,078,843,581.94/367,921.71
  6. Step 6: Final answer
    x = 296,472.97

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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.