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Finding the Fourth Proportional to 650,851.45, 976,906.88 and 314,129.14

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Solution

The fourth proportional to 650,851.45, 976,906.88 and 314,129.14 is: 471,497.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,851.45 : 976,906.88 = 314,129.14 : x
  2. Step 2: Convert to fraction form
    650,851.45/976,906.88 = 314,129.14/x
  3. Step 3: Cross multiply
    650,851.45x = 976,906.88 × 314,129.14
  4. Step 4: Simplify right side
    650,851.45x = 306,874,918,074.48
  5. Step 5: Solve for x
    x = 306,874,918,074.48/650,851.45
  6. Step 6: Final answer
    x = 471,497.63

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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.