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Finding the Fourth Proportional to 2,360,978.20, 3,542,361.54 and 1,415,027.80

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Solution

The fourth proportional to 2,360,978.20, 3,542,361.54 and 1,415,027.80 is: 2,123,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360,978.20 : 3,542,361.54 = 1,415,027.80 : x
  2. Step 2: Convert to fraction form
    2,360,978.20/3,542,361.54 = 1,415,027.80/x
  3. Step 3: Cross multiply
    2,360,978.20x = 3,542,361.54 × 1,415,027.80
  4. Step 4: Simplify right side
    2,360,978.20x = 5,012,540,056,750.81
  5. Step 5: Solve for x
    x = 5,012,540,056,750.81/2,360,978.20
  6. Step 6: Final answer
    x = 2,123,077.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.