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Finding the Fourth Proportional to 502,993.98, 754,610.82 and 148,019.58

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Solution

The fourth proportional to 502,993.98, 754,610.82 and 148,019.58 is: 222,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,993.98 : 754,610.82 = 148,019.58 : x
  2. Step 2: Convert to fraction form
    502,993.98/754,610.82 = 148,019.58/x
  3. Step 3: Cross multiply
    502,993.98x = 754,610.82 × 148,019.58
  4. Step 4: Simplify right side
    502,993.98x = 111,697,176,639.86
  5. Step 5: Solve for x
    x = 111,697,176,639.86/502,993.98
  6. Step 6: Final answer
    x = 222,064.64

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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.