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Finding the Fourth Proportional to 470,541.48, 649,203.84 and 266,559.72

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Solution

The fourth proportional to 470,541.48, 649,203.84 and 266,559.72 is: 367,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,541.48 : 649,203.84 = 266,559.72 : x
  2. Step 2: Convert to fraction form
    470,541.48/649,203.84 = 266,559.72/x
  3. Step 3: Cross multiply
    470,541.48x = 649,203.84 × 266,559.72
  4. Step 4: Simplify right side
    470,541.48x = 173,051,593,813.33
  5. Step 5: Solve for x
    x = 173,051,593,813.33/470,541.48
  6. Step 6: Final answer
    x = 367,771.18

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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.