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Finding the Fourth Proportional to 650,851.53, 976,906.99 and 314,129.22

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Solution

The fourth proportional to 650,851.53, 976,906.99 and 314,129.22 is: 471,497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,851.53 : 976,906.99 = 314,129.22 : x
  2. Step 2: Convert to fraction form
    650,851.53/976,906.99 = 314,129.22/x
  3. Step 3: Cross multiply
    650,851.53x = 976,906.99 × 314,129.22
  4. Step 4: Simplify right side
    650,851.53x = 306,875,025,939.86
  5. Step 5: Solve for x
    x = 306,875,025,939.86/650,851.53
  6. Step 6: Final answer
    x = 471,497.74

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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.