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Finding the Fourth Proportional to 508,576.50, 701,857.44 and 282,222

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Solution

The fourth proportional to 508,576.50, 701,857.44 and 282,222 is: 389,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,576.50 : 701,857.44 = 282,222 : x
  2. Step 2: Convert to fraction form
    508,576.50/701,857.44 = 282,222/x
  3. Step 3: Cross multiply
    508,576.50x = 701,857.44 × 282,222
  4. Step 4: Simplify right side
    508,576.50x = 198,079,610,431.68
  5. Step 5: Solve for x
    x = 198,079,610,431.68/508,576.50
  6. Step 6: Final answer
    x = 389,478.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.