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Finding the Fourth Proportional to 264,283.87, 396,422.35 and 64,606

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Solution

The fourth proportional to 264,283.87, 396,422.35 and 64,606 is: 96,908.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,283.87 : 396,422.35 = 64,606 : x
  2. Step 2: Convert to fraction form
    264,283.87/396,422.35 = 64,606/x
  3. Step 3: Cross multiply
    264,283.87x = 396,422.35 × 64,606
  4. Step 4: Simplify right side
    264,283.87x = 25,611,262,344.10
  5. Step 5: Solve for x
    x = 25,611,262,344.10/264,283.87
  6. Step 6: Final answer
    x = 96,908.16

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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.