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Finding the Fourth Proportional to 418,393.32, 627,584.46 and 102,852.96

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Solution

The fourth proportional to 418,393.32, 627,584.46 and 102,852.96 is: 154,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,393.32 : 627,584.46 = 102,852.96 : x
  2. Step 2: Convert to fraction form
    418,393.32/627,584.46 = 102,852.96/x
  3. Step 3: Cross multiply
    418,393.32x = 627,584.46 × 102,852.96
  4. Step 4: Simplify right side
    418,393.32x = 64,548,919,361.00
  5. Step 5: Solve for x
    x = 64,548,919,361.00/418,393.32
  6. Step 6: Final answer
    x = 154,278.08

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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.