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Finding the Fourth Proportional to 412,052.88, 618,395.76 and 184,419.12

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Solution

The fourth proportional to 412,052.88, 618,395.76 and 184,419.12 is: 276,770.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,052.88 : 618,395.76 = 184,419.12 : x
  2. Step 2: Convert to fraction form
    412,052.88/618,395.76 = 184,419.12/x
  3. Step 3: Cross multiply
    412,052.88x = 618,395.76 × 184,419.12
  4. Step 4: Simplify right side
    412,052.88x = 114,044,001,870.93
  5. Step 5: Solve for x
    x = 114,044,001,870.93/412,052.88
  6. Step 6: Final answer
    x = 276,770.31

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1.5x scale

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.