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Finding the Fourth Proportional to 407,249.76, 610,910.54 and 151,085.30

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Solution

The fourth proportional to 407,249.76, 610,910.54 and 151,085.30 is: 226,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,249.76 : 610,910.54 = 151,085.30 : x
  2. Step 2: Convert to fraction form
    407,249.76/610,910.54 = 151,085.30/x
  3. Step 3: Cross multiply
    407,249.76x = 610,910.54 × 151,085.30
  4. Step 4: Simplify right side
    407,249.76x = 92,299,602,209.06
  5. Step 5: Solve for x
    x = 92,299,602,209.06/407,249.76
  6. Step 6: Final answer
    x = 226,641.27

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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.