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Finding the Fourth Proportional to 470,259.77, 648,998.51 and 266,346.96

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Solution

The fourth proportional to 470,259.77, 648,998.51 and 266,346.96 is: 367,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,259.77 : 648,998.51 = 266,346.96 : x
  2. Step 2: Convert to fraction form
    470,259.77/648,998.51 = 266,346.96/x
  3. Step 3: Cross multiply
    470,259.77x = 648,998.51 × 266,346.96
  4. Step 4: Simplify right side
    470,259.77x = 172,858,780,183.03
  5. Step 5: Solve for x
    x = 172,858,780,183.03/470,259.77
  6. Step 6: Final answer
    x = 367,581.48

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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.