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Finding the Fourth Proportional to 304,796.45, 456,973.14 and 127,354.25

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Solution

The fourth proportional to 304,796.45, 456,973.14 and 127,354.25 is: 190,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,796.45 : 456,973.14 = 127,354.25 : x
  2. Step 2: Convert to fraction form
    304,796.45/456,973.14 = 127,354.25/x
  3. Step 3: Cross multiply
    304,796.45x = 456,973.14 × 127,354.25
  4. Step 4: Simplify right side
    304,796.45x = 58,197,471,514.85
  5. Step 5: Solve for x
    x = 58,197,471,514.85/304,796.45
  6. Step 6: Final answer
    x = 190,938.81

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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.