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Finding the Fourth Proportional to 294,648.98, 440,860.52 and 180,390.38

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Solution

The fourth proportional to 294,648.98, 440,860.52 and 180,390.38 is: 269,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,648.98 : 440,860.52 = 180,390.38 : x
  2. Step 2: Convert to fraction form
    294,648.98/440,860.52 = 180,390.38/x
  3. Step 3: Cross multiply
    294,648.98x = 440,860.52 × 180,390.38
  4. Step 4: Simplify right side
    294,648.98x = 79,526,994,976.47
  5. Step 5: Solve for x
    x = 79,526,994,976.47/294,648.98
  6. Step 6: Final answer
    x = 269,904.20

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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.