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Finding the Fourth Proportional to 470,168.55, 648,847.67 and 266,216.22

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Solution

The fourth proportional to 470,168.55, 648,847.67 and 266,216.22 is: 367,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,168.55 : 648,847.67 = 266,216.22 : x
  2. Step 2: Convert to fraction form
    470,168.55/648,847.67 = 266,216.22/x
  3. Step 3: Cross multiply
    470,168.55x = 648,847.67 × 266,216.22
  4. Step 4: Simplify right side
    470,168.55x = 172,733,772,732.13
  5. Step 5: Solve for x
    x = 172,733,772,732.13/470,168.55
  6. Step 6: Final answer
    x = 367,386.91

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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.