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Finding the Fourth Proportional to 503,046.54, 754,487.80 and 147,977.52

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Solution

The fourth proportional to 503,046.54, 754,487.80 and 147,977.52 is: 221,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,046.54 : 754,487.80 = 147,977.52 : x
  2. Step 2: Convert to fraction form
    503,046.54/754,487.80 = 147,977.52/x
  3. Step 3: Cross multiply
    503,046.54x = 754,487.80 × 147,977.52
  4. Step 4: Simplify right side
    503,046.54x = 111,647,233,514.26
  5. Step 5: Solve for x
    x = 111,647,233,514.26/503,046.54
  6. Step 6: Final answer
    x = 221,942.16

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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.