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Finding the Fourth Proportional to 471,342.33, 707,124.24 and 155,799.23

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Solution

The fourth proportional to 471,342.33, 707,124.24 and 155,799.23 is: 233,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,342.33 : 707,124.24 = 155,799.23 : x
  2. Step 2: Convert to fraction form
    471,342.33/707,124.24 = 155,799.23/x
  3. Step 3: Cross multiply
    471,342.33x = 707,124.24 × 155,799.23
  4. Step 4: Simplify right side
    471,342.33x = 110,169,408,570.71
  5. Step 5: Solve for x
    x = 110,169,408,570.71/471,342.33
  6. Step 6: Final answer
    x = 233,735.44

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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.