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Finding the Fourth Proportional to 362,564.59, 500,419.16 and 201,475.03

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Solution

The fourth proportional to 362,564.59, 500,419.16 and 201,475.03 is: 278,080.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,564.59 : 500,419.16 = 201,475.03 : x
  2. Step 2: Convert to fraction form
    362,564.59/500,419.16 = 201,475.03/x
  3. Step 3: Cross multiply
    362,564.59x = 500,419.16 × 201,475.03
  4. Step 4: Simplify right side
    362,564.59x = 100,821,964,022.53
  5. Step 5: Solve for x
    x = 100,821,964,022.53/362,564.59
  6. Step 6: Final answer
    x = 278,080.01

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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.