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Finding the Fourth Proportional to 622,635.56, 932,827 and 285,957.84

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Solution

The fourth proportional to 622,635.56, 932,827 and 285,957.84 is: 428,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,635.56 : 932,827 = 285,957.84 : x
  2. Step 2: Convert to fraction form
    622,635.56/932,827 = 285,957.84/x
  3. Step 3: Cross multiply
    622,635.56x = 932,827 × 285,957.84
  4. Step 4: Simplify right side
    622,635.56x = 266,749,194,013.68
  5. Step 5: Solve for x
    x = 266,749,194,013.68/622,635.56
  6. Step 6: Final answer
    x = 428,419.47

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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.