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Finding the Fourth Proportional to 504,200.18, 755,728.23 and 314,745.16

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Solution

The fourth proportional to 504,200.18, 755,728.23 and 314,745.16 is: 471,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,200.18 : 755,728.23 = 314,745.16 : x
  2. Step 2: Convert to fraction form
    504,200.18/755,728.23 = 314,745.16/x
  3. Step 3: Cross multiply
    504,200.18x = 755,728.23 × 314,745.16
  4. Step 4: Simplify right side
    504,200.18x = 237,861,802,667.87
  5. Step 5: Solve for x
    x = 237,861,802,667.87/504,200.18
  6. Step 6: Final answer
    x = 471,760.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.