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Finding the Fourth Proportional to 471,496.36, 707,382.33 and 151,641.04

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Solution

The fourth proportional to 471,496.36, 707,382.33 and 151,641.04 is: 227,505.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,496.36 : 707,382.33 = 151,641.04 : x
  2. Step 2: Convert to fraction form
    471,496.36/707,382.33 = 151,641.04/x
  3. Step 3: Cross multiply
    471,496.36x = 707,382.33 × 151,641.04
  4. Step 4: Simplify right side
    471,496.36x = 107,268,190,430.37
  5. Step 5: Solve for x
    x = 107,268,190,430.37/471,496.36
  6. Step 6: Final answer
    x = 227,505.87

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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.