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Finding the Fourth Proportional to 470,309.16, 649,033.58 and 266,355.01

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Solution

The fourth proportional to 470,309.16, 649,033.58 and 266,355.01 is: 367,573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,309.16 : 649,033.58 = 266,355.01 : x
  2. Step 2: Convert to fraction form
    470,309.16/649,033.58 = 266,355.01/x
  3. Step 3: Cross multiply
    470,309.16x = 649,033.58 × 266,355.01
  4. Step 4: Simplify right side
    470,309.16x = 172,873,345,691.24
  5. Step 5: Solve for x
    x = 172,873,345,691.24/470,309.16
  6. Step 6: Final answer
    x = 367,573.84

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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.