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Finding the Fourth Proportional to 644,714.40, 967,079.70 and 195,439.80

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Solution

The fourth proportional to 644,714.40, 967,079.70 and 195,439.80 is: 293,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,714.40 : 967,079.70 = 195,439.80 : x
  2. Step 2: Convert to fraction form
    644,714.40/967,079.70 = 195,439.80/x
  3. Step 3: Cross multiply
    644,714.40x = 967,079.70 × 195,439.80
  4. Step 4: Simplify right side
    644,714.40x = 189,005,863,152.06
  5. Step 5: Solve for x
    x = 189,005,863,152.06/644,714.40
  6. Step 6: Final answer
    x = 293,162.16

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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.