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Finding the Fourth Proportional to 470,613.26, 649,471.21 and 266,703.86

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Solution

The fourth proportional to 470,613.26, 649,471.21 and 266,703.86 is: 368,065.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,613.26 : 649,471.21 = 266,703.86 : x
  2. Step 2: Convert to fraction form
    470,613.26/649,471.21 = 266,703.86/x
  3. Step 3: Cross multiply
    470,613.26x = 649,471.21 × 266,703.86
  4. Step 4: Simplify right side
    470,613.26x = 173,216,474,751.76
  5. Step 5: Solve for x
    x = 173,216,474,751.76/470,613.26
  6. Step 6: Final answer
    x = 368,065.44

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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.