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Finding the Fourth Proportional to 406,653.50, 609,734.10 and 181,972.01

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Solution

The fourth proportional to 406,653.50, 609,734.10 and 181,972.01 is: 272,847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,653.50 : 609,734.10 = 181,972.01 : x
  2. Step 2: Convert to fraction form
    406,653.50/609,734.10 = 181,972.01/x
  3. Step 3: Cross multiply
    406,653.50x = 609,734.10 × 181,972.01
  4. Step 4: Simplify right side
    406,653.50x = 110,954,539,742.54
  5. Step 5: Solve for x
    x = 110,954,539,742.54/406,653.50
  6. Step 6: Final answer
    x = 272,847.87

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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.