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Finding the Fourth Proportional to 310,837.91, 466,256.87 and 205,632.27

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Solution

The fourth proportional to 310,837.91, 466,256.87 and 205,632.27 is: 308,448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,837.91 : 466,256.87 = 205,632.27 : x
  2. Step 2: Convert to fraction form
    310,837.91/466,256.87 = 205,632.27/x
  3. Step 3: Cross multiply
    310,837.91x = 466,256.87 × 205,632.27
  4. Step 4: Simplify right side
    310,837.91x = 95,877,457,553.03
  5. Step 5: Solve for x
    x = 95,877,457,553.03/310,837.91
  6. Step 6: Final answer
    x = 308,448.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.