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Finding the Fourth Proportional to 412,754.80, 619,029.66 and 232,919.18

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Solution

The fourth proportional to 412,754.80, 619,029.66 and 232,919.18 is: 349,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,754.80 : 619,029.66 = 232,919.18 : x
  2. Step 2: Convert to fraction form
    412,754.80/619,029.66 = 232,919.18/x
  3. Step 3: Cross multiply
    412,754.80x = 619,029.66 × 232,919.18
  4. Step 4: Simplify right side
    412,754.80x = 144,183,880,802.88
  5. Step 5: Solve for x
    x = 144,183,880,802.88/412,754.80
  6. Step 6: Final answer
    x = 349,320.91

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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.