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Finding the Fourth Proportional to 314,499.40, 471,230.70 and 261,622.60

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Solution

The fourth proportional to 314,499.40, 471,230.70 and 261,622.60 is: 392,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,499.40 : 471,230.70 = 261,622.60 : x
  2. Step 2: Convert to fraction form
    314,499.40/471,230.70 = 261,622.60/x
  3. Step 3: Cross multiply
    314,499.40x = 471,230.70 × 261,622.60
  4. Step 4: Simplify right side
    314,499.40x = 123,284,600,933.82
  5. Step 5: Solve for x
    x = 123,284,600,933.82/314,499.40
  6. Step 6: Final answer
    x = 392,002.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.