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Finding the Fourth Proportional to 356,341.04, 491,729.64 and 195,164

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Solution

The fourth proportional to 356,341.04, 491,729.64 and 195,164 is: 269,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,341.04 : 491,729.64 = 195,164 : x
  2. Step 2: Convert to fraction form
    356,341.04/491,729.64 = 195,164/x
  3. Step 3: Cross multiply
    356,341.04x = 491,729.64 × 195,164
  4. Step 4: Simplify right side
    356,341.04x = 95,967,923,460.96
  5. Step 5: Solve for x
    x = 95,967,923,460.96/356,341.04
  6. Step 6: Final answer
    x = 269,314.82

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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.