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Finding the Fourth Proportional to 470,656.86, 649,511.52 and 255,796.95

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Solution

The fourth proportional to 470,656.86, 649,511.52 and 255,796.95 is: 353,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,656.86 : 649,511.52 = 255,796.95 : x
  2. Step 2: Convert to fraction form
    470,656.86/649,511.52 = 255,796.95/x
  3. Step 3: Cross multiply
    470,656.86x = 649,511.52 × 255,796.95
  4. Step 4: Simplify right side
    470,656.86x = 166,143,065,805.86
  5. Step 5: Solve for x
    x = 166,143,065,805.86/470,656.86
  6. Step 6: Final answer
    x = 353,002.54

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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.