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Finding the Fourth Proportional to 650,872.53, 976,939.38 and 314,149.86

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Solution

The fourth proportional to 650,872.53, 976,939.38 and 314,149.86 is: 471,529.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,872.53 : 976,939.38 = 314,149.86 : x
  2. Step 2: Convert to fraction form
    650,872.53/976,939.38 = 314,149.86/x
  3. Step 3: Cross multiply
    650,872.53x = 976,939.38 × 314,149.86
  4. Step 4: Simplify right side
    650,872.53x = 306,905,369,455.49
  5. Step 5: Solve for x
    x = 306,905,369,455.49/650,872.53
  6. Step 6: Final answer
    x = 471,529.15

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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.