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Finding the Fourth Proportional to 470,187.38, 648,899.00 and 266,274.24

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Solution

The fourth proportional to 470,187.38, 648,899.00 and 266,274.24 is: 367,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,187.38 : 648,899.00 = 266,274.24 : x
  2. Step 2: Convert to fraction form
    470,187.38/648,899.00 = 266,274.24/x
  3. Step 3: Cross multiply
    470,187.38x = 648,899.00 × 266,274.24
  4. Step 4: Simplify right side
    470,187.38x = 172,785,085,295.55
  5. Step 5: Solve for x
    x = 172,785,085,295.55/470,187.38
  6. Step 6: Final answer
    x = 367,481.33

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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.