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Finding the Fourth Proportional to 471,350.32, 707,136.24 and 155,807.24

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Solution

The fourth proportional to 471,350.32, 707,136.24 and 155,807.24 is: 233,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,350.32 : 707,136.24 = 155,807.24 : x
  2. Step 2: Convert to fraction form
    471,350.32/707,136.24 = 155,807.24/x
  3. Step 3: Cross multiply
    471,350.32x = 707,136.24 × 155,807.24
  4. Step 4: Simplify right side
    471,350.32x = 110,176,945,858.38
  5. Step 5: Solve for x
    x = 110,176,945,858.38/471,350.32
  6. Step 6: Final answer
    x = 233,747.47

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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.