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Finding the Fourth Proportional to 323,900.19, 446,983.81 and 178,705.96

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Solution

The fourth proportional to 323,900.19, 446,983.81 and 178,705.96 is: 246,615.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,900.19 : 446,983.81 = 178,705.96 : x
  2. Step 2: Convert to fraction form
    323,900.19/446,983.81 = 178,705.96/x
  3. Step 3: Cross multiply
    323,900.19x = 446,983.81 × 178,705.96
  4. Step 4: Simplify right side
    323,900.19x = 79,878,670,870.51
  5. Step 5: Solve for x
    x = 79,878,670,870.51/323,900.19
  6. Step 6: Final answer
    x = 246,615.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.