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Finding the Fourth Proportional to 470,447.72, 649,074.80 and 266,466.22

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Solution

The fourth proportional to 470,447.72, 649,074.80 and 266,466.22 is: 367,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,447.72 : 649,074.80 = 266,466.22 : x
  2. Step 2: Convert to fraction form
    470,447.72/649,074.80 = 266,466.22/x
  3. Step 3: Cross multiply
    470,447.72x = 649,074.80 × 266,466.22
  4. Step 4: Simplify right side
    470,447.72x = 172,956,508,453.26
  5. Step 5: Solve for x
    x = 172,956,508,453.26/470,447.72
  6. Step 6: Final answer
    x = 367,642.36

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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.