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Finding the Fourth Proportional to 412,577.01, 618,661.40 and 146,297.61

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Solution

The fourth proportional to 412,577.01, 618,661.40 and 146,297.61 is: 219,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,577.01 : 618,661.40 = 146,297.61 : x
  2. Step 2: Convert to fraction form
    412,577.01/618,661.40 = 146,297.61/x
  3. Step 3: Cross multiply
    412,577.01x = 618,661.40 × 146,297.61
  4. Step 4: Simplify right side
    412,577.01x = 90,508,683,487.77
  5. Step 5: Solve for x
    x = 90,508,683,487.77/412,577.01
  6. Step 6: Final answer
    x = 219,374.04

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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.