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Finding the Fourth Proportional to 361,796.07, 542,643.83 and 253,397.11

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Solution

The fourth proportional to 361,796.07, 542,643.83 and 253,397.11 is: 380,060.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,796.07 : 542,643.83 = 253,397.11 : x
  2. Step 2: Convert to fraction form
    361,796.07/542,643.83 = 253,397.11/x
  3. Step 3: Cross multiply
    361,796.07x = 542,643.83 × 253,397.11
  4. Step 4: Simplify right side
    361,796.07x = 137,504,378,281.33
  5. Step 5: Solve for x
    x = 137,504,378,281.33/361,796.07
  6. Step 6: Final answer
    x = 380,060.45

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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.