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Finding the Fourth Proportional to 304,658.82, 456,689.95 and 127,216.58

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Solution

The fourth proportional to 304,658.82, 456,689.95 and 127,216.58 is: 190,700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,658.82 : 456,689.95 = 127,216.58 : x
  2. Step 2: Convert to fraction form
    304,658.82/456,689.95 = 127,216.58/x
  3. Step 3: Cross multiply
    304,658.82x = 456,689.95 × 127,216.58
  4. Step 4: Simplify right side
    304,658.82x = 58,098,530,957.88
  5. Step 5: Solve for x
    x = 58,098,530,957.88/304,658.82
  6. Step 6: Final answer
    x = 190,700.31

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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.