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Finding the Fourth Proportional to 471,342.92, 707,125.10 and 155,799.86

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Solution

The fourth proportional to 471,342.92, 707,125.10 and 155,799.86 is: 233,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,342.92 : 707,125.10 = 155,799.86 : x
  2. Step 2: Convert to fraction form
    471,342.92/707,125.10 = 155,799.86/x
  3. Step 3: Cross multiply
    471,342.92x = 707,125.10 × 155,799.86
  4. Step 4: Simplify right side
    471,342.92x = 110,169,987,267.86
  5. Step 5: Solve for x
    x = 110,169,987,267.86/471,342.92
  6. Step 6: Final answer
    x = 233,736.38

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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.