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Finding the Fourth Proportional to 470,449.64, 649,260.03 and 266,565.38

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Solution

The fourth proportional to 470,449.64, 649,260.03 and 266,565.38 is: 367,882.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,449.64 : 649,260.03 = 266,565.38 : x
  2. Step 2: Convert to fraction form
    470,449.64/649,260.03 = 266,565.38/x
  3. Step 3: Cross multiply
    470,449.64x = 649,260.03 × 266,565.38
  4. Step 4: Simplify right side
    470,449.64x = 173,070,246,615.76
  5. Step 5: Solve for x
    x = 173,070,246,615.76/470,449.64
  6. Step 6: Final answer
    x = 367,882.62

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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.