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Finding the Fourth Proportional to 470,563.30, 649,324.64 and 266,570.52

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Solution

The fourth proportional to 470,563.30, 649,324.64 and 266,570.52 is: 367,837.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,563.30 : 649,324.64 = 266,570.52 : x
  2. Step 2: Convert to fraction form
    470,563.30/649,324.64 = 266,570.52/x
  3. Step 3: Cross multiply
    470,563.30x = 649,324.64 × 266,570.52
  4. Step 4: Simplify right side
    470,563.30x = 173,090,806,933.61
  5. Step 5: Solve for x
    x = 173,090,806,933.61/470,563.30
  6. Step 6: Final answer
    x = 367,837.46

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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.