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Finding the Fourth Proportional to 470,546.90, 649,352.46 and 266,597.42

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Solution

The fourth proportional to 470,546.90, 649,352.46 and 266,597.42 is: 367,903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,546.90 : 649,352.46 = 266,597.42 : x
  2. Step 2: Convert to fraction form
    470,546.90/649,352.46 = 266,597.42/x
  3. Step 3: Cross multiply
    470,546.90x = 649,352.46 × 266,597.42
  4. Step 4: Simplify right side
    470,546.90x = 173,115,686,593.40
  5. Step 5: Solve for x
    x = 173,115,686,593.40/470,546.90
  6. Step 6: Final answer
    x = 367,903.15

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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.