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Finding the Fourth Proportional to 361,795.07, 542,642.33 and 253,396.11

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Solution

The fourth proportional to 361,795.07, 542,642.33 and 253,396.11 is: 380,058.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,795.07 : 542,642.33 = 253,396.11 : x
  2. Step 2: Convert to fraction form
    361,795.07/542,642.33 = 253,396.11/x
  3. Step 3: Cross multiply
    361,795.07x = 542,642.33 × 253,396.11
  4. Step 4: Simplify right side
    361,795.07x = 137,503,458,211.74
  5. Step 5: Solve for x
    x = 137,503,458,211.74/361,795.07
  6. Step 6: Final answer
    x = 380,058.96

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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.