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Finding the Fourth Proportional to 545,908.82, 753,346.50 and 304,201.58

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Solution

The fourth proportional to 545,908.82, 753,346.50 and 304,201.58 is: 419,793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,908.82 : 753,346.50 = 304,201.58 : x
  2. Step 2: Convert to fraction form
    545,908.82/753,346.50 = 304,201.58/x
  3. Step 3: Cross multiply
    545,908.82x = 753,346.50 × 304,201.58
  4. Step 4: Simplify right side
    545,908.82x = 229,169,195,587.47
  5. Step 5: Solve for x
    x = 229,169,195,587.47/545,908.82
  6. Step 6: Final answer
    x = 419,793.91

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Why These Related Problems?

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