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Finding the Fourth Proportional to 362,146, 499,738.08 and 201,001.12

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Solution

The fourth proportional to 362,146, 499,738.08 and 201,001.12 is: 277,368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,146 : 499,738.08 = 201,001.12 : x
  2. Step 2: Convert to fraction form
    362,146/499,738.08 = 201,001.12/x
  3. Step 3: Cross multiply
    362,146x = 499,738.08 × 201,001.12
  4. Step 4: Simplify right side
    362,146x = 100,447,913,786.65
  5. Step 5: Solve for x
    x = 100,447,913,786.65/362,146
  6. Step 6: Final answer
    x = 277,368.56

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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.