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Finding the Fourth Proportional to 470,765.34, 649,642.49 and 266,835.03

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Solution

The fourth proportional to 470,765.34, 649,642.49 and 266,835.03 is: 368,224.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,765.34 : 649,642.49 = 266,835.03 : x
  2. Step 2: Convert to fraction form
    470,765.34/649,642.49 = 266,835.03/x
  3. Step 3: Cross multiply
    470,765.34x = 649,642.49 × 266,835.03
  4. Step 4: Simplify right side
    470,765.34x = 173,347,372,974.88
  5. Step 5: Solve for x
    x = 173,347,372,974.88/470,765.34
  6. Step 6: Final answer
    x = 368,224.59

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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.