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Finding the Fourth Proportional to 397,521.88, 596,282.82 and 161,030.63

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Solution

The fourth proportional to 397,521.88, 596,282.82 and 161,030.63 is: 241,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,521.88 : 596,282.82 = 161,030.63 : x
  2. Step 2: Convert to fraction form
    397,521.88/596,282.82 = 161,030.63/x
  3. Step 3: Cross multiply
    397,521.88x = 596,282.82 × 161,030.63
  4. Step 4: Simplify right side
    397,521.88x = 96,019,799,049.62
  5. Step 5: Solve for x
    x = 96,019,799,049.62/397,521.88
  6. Step 6: Final answer
    x = 241,545.95

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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.