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Finding the Fourth Proportional to 472,706.94, 709,060.05 and 140,282.94

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Solution

The fourth proportional to 472,706.94, 709,060.05 and 140,282.94 is: 210,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,706.94 : 709,060.05 = 140,282.94 : x
  2. Step 2: Convert to fraction form
    472,706.94/709,060.05 = 140,282.94/x
  3. Step 3: Cross multiply
    472,706.94x = 709,060.05 × 140,282.94
  4. Step 4: Simplify right side
    472,706.94x = 99,469,028,450.55
  5. Step 5: Solve for x
    x = 99,469,028,450.55/472,706.94
  6. Step 6: Final answer
    x = 210,424.30

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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.