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Finding the Fourth Proportional to 470,803.86, 649,701.68 and 255,949.29

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Solution

The fourth proportional to 470,803.86, 649,701.68 and 255,949.29 is: 353,205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,803.86 : 649,701.68 = 255,949.29 : x
  2. Step 2: Convert to fraction form
    470,803.86/649,701.68 = 255,949.29/x
  3. Step 3: Cross multiply
    470,803.86x = 649,701.68 × 255,949.29
  4. Step 4: Simplify right side
    470,803.86x = 166,290,682,428.06
  5. Step 5: Solve for x
    x = 166,290,682,428.06/470,803.86
  6. Step 6: Final answer
    x = 353,205.86

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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.