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Finding the Fourth Proportional to 533,053.14, 799,718.22 and 159,076.14

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Solution

The fourth proportional to 533,053.14, 799,718.22 and 159,076.14 is: 238,655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,053.14 : 799,718.22 = 159,076.14 : x
  2. Step 2: Convert to fraction form
    533,053.14/799,718.22 = 159,076.14/x
  3. Step 3: Cross multiply
    533,053.14x = 799,718.22 × 159,076.14
  4. Step 4: Simplify right side
    533,053.14x = 127,216,087,525.27
  5. Step 5: Solve for x
    x = 127,216,087,525.27/533,053.14
  6. Step 6: Final answer
    x = 238,655.54

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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.