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Finding the Fourth Proportional to 356,709.90, 492,261.22 and 195,567.48

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Solution

The fourth proportional to 356,709.90, 492,261.22 and 195,567.48 is: 269,883.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,709.90 : 492,261.22 = 195,567.48 : x
  2. Step 2: Convert to fraction form
    356,709.90/492,261.22 = 195,567.48/x
  3. Step 3: Cross multiply
    356,709.90x = 492,261.22 × 195,567.48
  4. Step 4: Simplify right side
    356,709.90x = 96,270,286,297.13
  5. Step 5: Solve for x
    x = 96,270,286,297.13/356,709.90
  6. Step 6: Final answer
    x = 269,883.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.