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Finding the Fourth Proportional to 362,214.78, 499,846.95 and 201,065.58

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Solution

The fourth proportional to 362,214.78, 499,846.95 and 201,065.58 is: 277,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,214.78 : 499,846.95 = 201,065.58 : x
  2. Step 2: Convert to fraction form
    362,214.78/499,846.95 = 201,065.58/x
  3. Step 3: Cross multiply
    362,214.78x = 499,846.95 × 201,065.58
  4. Step 4: Simplify right side
    362,214.78x = 100,502,016,912.98
  5. Step 5: Solve for x
    x = 100,502,016,912.98/362,214.78
  6. Step 6: Final answer
    x = 277,465.26

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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.