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Finding the Fourth Proportional to 470,058.68, 648,695.86 and 266,105.90

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Solution

The fourth proportional to 470,058.68, 648,695.86 and 266,105.90 is: 367,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,058.68 : 648,695.86 = 266,105.90 : x
  2. Step 2: Convert to fraction form
    470,058.68/648,695.86 = 266,105.90/x
  3. Step 3: Cross multiply
    470,058.68x = 648,695.86 × 266,105.90
  4. Step 4: Simplify right side
    470,058.68x = 172,621,796,608.05
  5. Step 5: Solve for x
    x = 172,621,796,608.05/470,058.68
  6. Step 6: Final answer
    x = 367,234.57

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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.