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Finding the Fourth Proportional to 471,495.86, 707,381.58 and 151,640.54

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Solution

The fourth proportional to 471,495.86, 707,381.58 and 151,640.54 is: 227,505.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,495.86 : 707,381.58 = 151,640.54 : x
  2. Step 2: Convert to fraction form
    471,495.86/707,381.58 = 151,640.54/x
  3. Step 3: Cross multiply
    471,495.86x = 707,381.58 × 151,640.54
  4. Step 4: Simplify right side
    471,495.86x = 107,267,724,777.25
  5. Step 5: Solve for x
    x = 107,267,724,777.25/471,495.86
  6. Step 6: Final answer
    x = 227,505.13

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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.