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Finding the Fourth Proportional to 551,004.12, 825,717.72 and 313,857.24

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Solution

The fourth proportional to 551,004.12, 825,717.72 and 313,857.24 is: 470,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,004.12 : 825,717.72 = 313,857.24 : x
  2. Step 2: Convert to fraction form
    551,004.12/825,717.72 = 313,857.24/x
  3. Step 3: Cross multiply
    551,004.12x = 825,717.72 × 313,857.24
  4. Step 4: Simplify right side
    551,004.12x = 259,157,484,618.29
  5. Step 5: Solve for x
    x = 259,157,484,618.29/551,004.12
  6. Step 6: Final answer
    x = 470,336.75

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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.