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Finding the Fourth Proportional to 472,343.98, 708,384.22 and 130,705.12

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Solution

The fourth proportional to 472,343.98, 708,384.22 and 130,705.12 is: 196,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,343.98 : 708,384.22 = 130,705.12 : x
  2. Step 2: Convert to fraction form
    472,343.98/708,384.22 = 130,705.12/x
  3. Step 3: Cross multiply
    472,343.98x = 708,384.22 × 130,705.12
  4. Step 4: Simplify right side
    472,343.98x = 92,589,444,481.21
  5. Step 5: Solve for x
    x = 92,589,444,481.21/472,343.98
  6. Step 6: Final answer
    x = 196,021.22

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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.