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Finding the Fourth Proportional to 470,596.10, 649,411.68 and 263,850.80

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Solution

The fourth proportional to 470,596.10, 649,411.68 and 263,850.80 is: 364,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,596.10 : 649,411.68 = 263,850.80 : x
  2. Step 2: Convert to fraction form
    470,596.10/649,411.68 = 263,850.80/x
  3. Step 3: Cross multiply
    470,596.10x = 649,411.68 × 263,850.80
  4. Step 4: Simplify right side
    470,596.10x = 171,347,791,297.34
  5. Step 5: Solve for x
    x = 171,347,791,297.34/470,596.10
  6. Step 6: Final answer
    x = 364,107.97

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1.5x scale

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.