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Finding the Fourth Proportional to 304,754.94, 457,205.40 and 127,163.16

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Solution

The fourth proportional to 304,754.94, 457,205.40 and 127,163.16 is: 190,775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,754.94 : 457,205.40 = 127,163.16 : x
  2. Step 2: Convert to fraction form
    304,754.94/457,205.40 = 127,163.16/x
  3. Step 3: Cross multiply
    304,754.94x = 457,205.40 × 127,163.16
  4. Step 4: Simplify right side
    304,754.94x = 58,139,683,433.06
  5. Step 5: Solve for x
    x = 58,139,683,433.06/304,754.94
  6. Step 6: Final answer
    x = 190,775.20

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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.