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Finding the Fourth Proportional to 362,952, 500,850.02 and 201,801.12

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Solution

The fourth proportional to 362,952, 500,850.02 and 201,801.12 is: 278,472.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,952 : 500,850.02 = 201,801.12 : x
  2. Step 2: Convert to fraction form
    362,952/500,850.02 = 201,801.12/x
  3. Step 3: Cross multiply
    362,952x = 500,850.02 × 201,801.12
  4. Step 4: Simplify right side
    362,952x = 101,072,094,988.02
  5. Step 5: Solve for x
    x = 101,072,094,988.02/362,952
  6. Step 6: Final answer
    x = 278,472.35

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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.