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Finding the Fourth Proportional to 314,649.96, 471,600.10 and 181,253.89

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Solution

The fourth proportional to 314,649.96, 471,600.10 and 181,253.89 is: 271,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,649.96 : 471,600.10 = 181,253.89 : x
  2. Step 2: Convert to fraction form
    314,649.96/471,600.10 = 181,253.89/x
  3. Step 3: Cross multiply
    314,649.96x = 471,600.10 × 181,253.89
  4. Step 4: Simplify right side
    314,649.96x = 85,479,352,649.39
  5. Step 5: Solve for x
    x = 85,479,352,649.39/314,649.96
  6. Step 6: Final answer
    x = 271,664.91

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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.