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Finding the Fourth Proportional to 474,880.56, 712,342.44 and 264,359.76

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Solution

The fourth proportional to 474,880.56, 712,342.44 and 264,359.76 is: 396,551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,880.56 : 712,342.44 = 264,359.76 : x
  2. Step 2: Convert to fraction form
    474,880.56/712,342.44 = 264,359.76/x
  3. Step 3: Cross multiply
    474,880.56x = 712,342.44 × 264,359.76
  4. Step 4: Simplify right side
    474,880.56x = 188,314,676,476.21
  5. Step 5: Solve for x
    x = 188,314,676,476.21/474,880.56
  6. Step 6: Final answer
    x = 396,551.66

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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.