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Finding the Fourth Proportional to 470,525.85, 649,304.19 and 266,572.62

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Solution

The fourth proportional to 470,525.85, 649,304.19 and 266,572.62 is: 367,858.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,525.85 : 649,304.19 = 266,572.62 : x
  2. Step 2: Convert to fraction form
    470,525.85/649,304.19 = 266,572.62/x
  3. Step 3: Cross multiply
    470,525.85x = 649,304.19 × 266,572.62
  4. Step 4: Simplify right side
    470,525.85x = 173,086,719,105.28
  5. Step 5: Solve for x
    x = 173,086,719,105.28/470,525.85
  6. Step 6: Final answer
    x = 367,858.04

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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.