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Finding the Fourth Proportional to 356,412.66, 491,849.47 and 195,273.81

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Solution

The fourth proportional to 356,412.66, 491,849.47 and 195,273.81 is: 269,477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,412.66 : 491,849.47 = 195,273.81 : x
  2. Step 2: Convert to fraction form
    356,412.66/491,849.47 = 195,273.81/x
  3. Step 3: Cross multiply
    356,412.66x = 491,849.47 × 195,273.81
  4. Step 4: Simplify right side
    356,412.66x = 96,045,320,482.38
  5. Step 5: Solve for x
    x = 96,045,320,482.38/356,412.66
  6. Step 6: Final answer
    x = 269,477.86

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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.