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Finding the Fourth Proportional to 356,817.92, 492,409.38 and 195,674.13

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Solution

The fourth proportional to 356,817.92, 492,409.38 and 195,674.13 is: 270,030.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,817.92 : 492,409.38 = 195,674.13 : x
  2. Step 2: Convert to fraction form
    356,817.92/492,409.38 = 195,674.13/x
  3. Step 3: Cross multiply
    356,817.92x = 492,409.38 × 195,674.13
  4. Step 4: Simplify right side
    356,817.92x = 96,351,774,573.29
  5. Step 5: Solve for x
    x = 96,351,774,573.29/356,817.92
  6. Step 6: Final answer
    x = 270,030.65

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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.