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Finding the Fourth Proportional to 362,897.56, 500,770.25 and 201,742.79

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Solution

The fourth proportional to 362,897.56, 500,770.25 and 201,742.79 is: 278,389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,897.56 : 500,770.25 = 201,742.79 : x
  2. Step 2: Convert to fraction form
    362,897.56/500,770.25 = 201,742.79/x
  3. Step 3: Cross multiply
    362,897.56x = 500,770.25 × 201,742.79
  4. Step 4: Simplify right side
    362,897.56x = 101,026,787,384.00
  5. Step 5: Solve for x
    x = 101,026,787,384.00/362,897.56
  6. Step 6: Final answer
    x = 278,389.27

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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.