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Finding the Fourth Proportional to 362,293.47, 499,963.08 and 198,953.10

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Solution

The fourth proportional to 362,293.47, 499,963.08 and 198,953.10 is: 274,554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,293.47 : 499,963.08 = 198,953.10 : x
  2. Step 2: Convert to fraction form
    362,293.47/499,963.08 = 198,953.10/x
  3. Step 3: Cross multiply
    362,293.47x = 499,963.08 × 198,953.10
  4. Step 4: Simplify right side
    362,293.47x = 99,469,204,651.55
  5. Step 5: Solve for x
    x = 99,469,204,651.55/362,293.47
  6. Step 6: Final answer
    x = 274,554.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.