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Finding the Fourth Proportional to 356,531.16, 492,005.16 and 195,382.80

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Solution

The fourth proportional to 356,531.16, 492,005.16 and 195,382.80 is: 269,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,531.16 : 492,005.16 = 195,382.80 : x
  2. Step 2: Convert to fraction form
    356,531.16/492,005.16 = 195,382.80/x
  3. Step 3: Cross multiply
    356,531.16x = 492,005.16 × 195,382.80
  4. Step 4: Simplify right side
    356,531.16x = 96,129,345,775.25
  5. Step 5: Solve for x
    x = 96,129,345,775.25/356,531.16
  6. Step 6: Final answer
    x = 269,623.97

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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.