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Finding the Fourth Proportional to 503,728.12, 755,414.34 and 148,647.16

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Solution

The fourth proportional to 503,728.12, 755,414.34 and 148,647.16 is: 222,918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,728.12 : 755,414.34 = 148,647.16 : x
  2. Step 2: Convert to fraction form
    503,728.12/755,414.34 = 148,647.16/x
  3. Step 3: Cross multiply
    503,728.12x = 755,414.34 × 148,647.16
  4. Step 4: Simplify right side
    503,728.12x = 112,290,196,264.27
  5. Step 5: Solve for x
    x = 112,290,196,264.27/503,728.12
  6. Step 6: Final answer
    x = 222,918.26

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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.