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Finding the Fourth Proportional to 481,465.86, 664,414.74 and 266,601.30

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Solution

The fourth proportional to 481,465.86, 664,414.74 and 266,601.30 is: 367,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,465.86 : 664,414.74 = 266,601.30 : x
  2. Step 2: Convert to fraction form
    481,465.86/664,414.74 = 266,601.30/x
  3. Step 3: Cross multiply
    481,465.86x = 664,414.74 × 266,601.30
  4. Step 4: Simplify right side
    481,465.86x = 177,133,833,423.16
  5. Step 5: Solve for x
    x = 177,133,833,423.16/481,465.86
  6. Step 6: Final answer
    x = 367,905.28

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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.