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Finding the Fourth Proportional to 266,406.50, 397,666.37 and 232,775.91

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Solution

The fourth proportional to 266,406.50, 397,666.37 and 232,775.91 is: 347,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,406.50 : 397,666.37 = 232,775.91 : x
  2. Step 2: Convert to fraction form
    266,406.50/397,666.37 = 232,775.91/x
  3. Step 3: Cross multiply
    266,406.50x = 397,666.37 × 232,775.91
  4. Step 4: Simplify right side
    266,406.50x = 92,567,151,735.09
  5. Step 5: Solve for x
    x = 92,567,151,735.09/266,406.50
  6. Step 6: Final answer
    x = 347,465.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.