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Finding the Fourth Proportional to 470,149.89, 648,800.08 and 266,195.49

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Solution

The fourth proportional to 470,149.89, 648,800.08 and 266,195.49 is: 367,345.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,149.89 : 648,800.08 = 266,195.49 : x
  2. Step 2: Convert to fraction form
    470,149.89/648,800.08 = 266,195.49/x
  3. Step 3: Cross multiply
    470,149.89x = 648,800.08 × 266,195.49
  4. Step 4: Simplify right side
    470,149.89x = 172,707,655,207.64
  5. Step 5: Solve for x
    x = 172,707,655,207.64/470,149.89
  6. Step 6: Final answer
    x = 367,345.94

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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.