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Finding the Fourth Proportional to 471,557.09, 707,118.53 and 151,649.69

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Solution

The fourth proportional to 471,557.09, 707,118.53 and 151,649.69 is: 227,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,557.09 : 707,118.53 = 151,649.69 : x
  2. Step 2: Convert to fraction form
    471,557.09/707,118.53 = 151,649.69/x
  3. Step 3: Cross multiply
    471,557.09x = 707,118.53 × 151,649.69
  4. Step 4: Simplify right side
    471,557.09x = 107,234,301,573.92
  5. Step 5: Solve for x
    x = 107,234,301,573.92/471,557.09
  6. Step 6: Final answer
    x = 227,404.71

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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.