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Finding the Fourth Proportional to 470,206.40, 648,892.36 and 266,251.80

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Solution

The fourth proportional to 470,206.40, 648,892.36 and 266,251.80 is: 367,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,206.40 : 648,892.36 = 266,251.80 : x
  2. Step 2: Convert to fraction form
    470,206.40/648,892.36 = 266,251.80/x
  3. Step 3: Cross multiply
    470,206.40x = 648,892.36 × 266,251.80
  4. Step 4: Simplify right side
    470,206.40x = 172,768,758,856.25
  5. Step 5: Solve for x
    x = 172,768,758,856.25/470,206.40
  6. Step 6: Final answer
    x = 367,431.75

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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.