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Finding the Fourth Proportional to 470,363.48, 649,108.62 and 266,409.36

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Solution

The fourth proportional to 470,363.48, 649,108.62 and 266,409.36 is: 367,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,363.48 : 649,108.62 = 266,409.36 : x
  2. Step 2: Convert to fraction form
    470,363.48/649,108.62 = 266,409.36/x
  3. Step 3: Cross multiply
    470,363.48x = 649,108.62 × 266,409.36
  4. Step 4: Simplify right side
    470,363.48x = 172,928,612,024.68
  5. Step 5: Solve for x
    x = 172,928,612,024.68/470,363.48
  6. Step 6: Final answer
    x = 367,648.89

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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.