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Finding the Fourth Proportional to 494,587.30, 741,493.39 and 195,291.91

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Solution

The fourth proportional to 494,587.30, 741,493.39 and 195,291.91 is: 292,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,587.30 : 741,493.39 = 195,291.91 : x
  2. Step 2: Convert to fraction form
    494,587.30/741,493.39 = 195,291.91/x
  3. Step 3: Cross multiply
    494,587.30x = 741,493.39 × 195,291.91
  4. Step 4: Simplify right side
    494,587.30x = 144,807,655,701.55
  5. Step 5: Solve for x
    x = 144,807,655,701.55/494,587.30
  6. Step 6: Final answer
    x = 292,784.82

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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.