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Finding the Fourth Proportional to 474,889.56, 712,356.21 and 264,368.94

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Solution

The fourth proportional to 474,889.56, 712,356.21 and 264,368.94 is: 396,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,889.56 : 712,356.21 = 264,368.94 : x
  2. Step 2: Convert to fraction form
    474,889.56/712,356.21 = 264,368.94/x
  3. Step 3: Cross multiply
    474,889.56x = 712,356.21 × 264,368.94
  4. Step 4: Simplify right side
    474,889.56x = 188,324,856,140.12
  5. Step 5: Solve for x
    x = 188,324,856,140.12/474,889.56
  6. Step 6: Final answer
    x = 396,565.58

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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.