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Finding the Fourth Proportional to 597,973.96, 825,164.82 and 329,703.88

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Solution

The fourth proportional to 597,973.96, 825,164.82 and 329,703.88 is: 454,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,973.96 : 825,164.82 = 329,703.88 : x
  2. Step 2: Convert to fraction form
    597,973.96/825,164.82 = 329,703.88/x
  3. Step 3: Cross multiply
    597,973.96x = 825,164.82 × 329,703.88
  4. Step 4: Simplify right side
    597,973.96x = 272,060,042,793.50
  5. Step 5: Solve for x
    x = 272,060,042,793.50/597,973.96
  6. Step 6: Final answer
    x = 454,969.72

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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.