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Finding the Fourth Proportional to 470,786.62, 649,689.76 and 255,927.10

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Solution

The fourth proportional to 470,786.62, 649,689.76 and 255,927.10 is: 353,181.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,786.62 : 649,689.76 = 255,927.10 : x
  2. Step 2: Convert to fraction form
    470,786.62/649,689.76 = 255,927.10/x
  3. Step 3: Cross multiply
    470,786.62x = 649,689.76 × 255,927.10
  4. Step 4: Simplify right side
    470,786.62x = 166,273,216,176.50
  5. Step 5: Solve for x
    x = 166,273,216,176.50/470,786.62
  6. Step 6: Final answer
    x = 353,181.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.