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Finding the Fourth Proportional to 471,349.32, 707,134.74 and 155,806.24

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Solution

The fourth proportional to 471,349.32, 707,134.74 and 155,806.24 is: 233,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,349.32 : 707,134.74 = 155,806.24 : x
  2. Step 2: Convert to fraction form
    471,349.32/707,134.74 = 155,806.24/x
  3. Step 3: Cross multiply
    471,349.32x = 707,134.74 × 155,806.24
  4. Step 4: Simplify right side
    471,349.32x = 110,176,005,012.78
  5. Step 5: Solve for x
    x = 110,176,005,012.78/471,349.32
  6. Step 6: Final answer
    x = 233,745.97

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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.