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Finding the Fourth Proportional to 470,457.54, 649,184.58 and 266,467.86

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Solution

The fourth proportional to 470,457.54, 649,184.58 and 266,467.86 is: 367,699.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,457.54 : 649,184.58 = 266,467.86 : x
  2. Step 2: Convert to fraction form
    470,457.54/649,184.58 = 266,467.86/x
  3. Step 3: Cross multiply
    470,457.54x = 649,184.58 × 266,467.86
  4. Step 4: Simplify right side
    470,457.54x = 172,986,825,777.60
  5. Step 5: Solve for x
    x = 172,986,825,777.60/470,457.54
  6. Step 6: Final answer
    x = 367,699.12

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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.