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Finding the Fourth Proportional to 360,088, 496,921.44 and 201,112

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Solution

The fourth proportional to 360,088, 496,921.44 and 201,112 is: 277,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,088 : 496,921.44 = 201,112 : x
  2. Step 2: Convert to fraction form
    360,088/496,921.44 = 201,112/x
  3. Step 3: Cross multiply
    360,088x = 496,921.44 × 201,112
  4. Step 4: Simplify right side
    360,088x = 99,936,864,641.28
  5. Step 5: Solve for x
    x = 99,936,864,641.28/360,088
  6. Step 6: Final answer
    x = 277,534.56

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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.