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Finding the Fourth Proportional to 408,653.80, 612,955.80 and 195,573.18

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Solution

The fourth proportional to 408,653.80, 612,955.80 and 195,573.18 is: 293,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,653.80 : 612,955.80 = 195,573.18 : x
  2. Step 2: Convert to fraction form
    408,653.80/612,955.80 = 195,573.18/x
  3. Step 3: Cross multiply
    408,653.80x = 612,955.80 × 195,573.18
  4. Step 4: Simplify right side
    408,653.80x = 119,877,715,005.44
  5. Step 5: Solve for x
    x = 119,877,715,005.44/408,653.80
  6. Step 6: Final answer
    x = 293,347.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.