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Finding the Fourth Proportional to 408,095.80, 611,623.98 and 230,701.48

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Solution

The fourth proportional to 408,095.80, 611,623.98 and 230,701.48 is: 345,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,095.80 : 611,623.98 = 230,701.48 : x
  2. Step 2: Convert to fraction form
    408,095.80/611,623.98 = 230,701.48/x
  3. Step 3: Cross multiply
    408,095.80x = 611,623.98 × 230,701.48
  4. Step 4: Simplify right side
    408,095.80x = 141,102,557,389.49
  5. Step 5: Solve for x
    x = 141,102,557,389.49/408,095.80
  6. Step 6: Final answer
    x = 345,758.42

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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.