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Finding the Fourth Proportional to 471,192.76, 706,639.38 and 155,590.84

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Solution

The fourth proportional to 471,192.76, 706,639.38 and 155,590.84 is: 233,336.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,192.76 : 706,639.38 = 155,590.84 : x
  2. Step 2: Convert to fraction form
    471,192.76/706,639.38 = 155,590.84/x
  3. Step 3: Cross multiply
    471,192.76x = 706,639.38 × 155,590.84
  4. Step 4: Simplify right side
    471,192.76x = 109,946,614,711.28
  5. Step 5: Solve for x
    x = 109,946,614,711.28/471,192.76
  6. Step 6: Final answer
    x = 233,336.81

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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.