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Finding the Fourth Proportional to 502,956.20, 754,361.40 and 147,933.20

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Solution

The fourth proportional to 502,956.20, 754,361.40 and 147,933.20 is: 221,878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,956.20 : 754,361.40 = 147,933.20 : x
  2. Step 2: Convert to fraction form
    502,956.20/754,361.40 = 147,933.20/x
  3. Step 3: Cross multiply
    502,956.20x = 754,361.40 × 147,933.20
  4. Step 4: Simplify right side
    502,956.20x = 111,595,095,858.48
  5. Step 5: Solve for x
    x = 111,595,095,858.48/502,956.20
  6. Step 6: Final answer
    x = 221,878.36

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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.