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Finding the Fourth Proportional to 470,133.96, 648,778.17 and 266,179.59

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Solution

The fourth proportional to 470,133.96, 648,778.17 and 266,179.59 is: 367,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,133.96 : 648,778.17 = 266,179.59 : x
  2. Step 2: Convert to fraction form
    470,133.96/648,778.17 = 266,179.59/x
  3. Step 3: Cross multiply
    470,133.96x = 648,778.17 × 266,179.59
  4. Step 4: Simplify right side
    470,133.96x = 172,691,507,291.55
  5. Step 5: Solve for x
    x = 172,691,507,291.55/470,133.96
  6. Step 6: Final answer
    x = 367,324.04

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1.5x scale

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.