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Finding the Fourth Proportional to 470,976.68, 706,366.13 and 155,359.64

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Solution

The fourth proportional to 470,976.68, 706,366.13 and 155,359.64 is: 233,006.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,976.68 : 706,366.13 = 155,359.64 : x
  2. Step 2: Convert to fraction form
    470,976.68/706,366.13 = 155,359.64/x
  3. Step 3: Cross multiply
    470,976.68x = 706,366.13 × 155,359.64
  4. Step 4: Simplify right side
    470,976.68x = 109,740,783,356.36
  5. Step 5: Solve for x
    x = 109,740,783,356.36/470,976.68
  6. Step 6: Final answer
    x = 233,006.83

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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.