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Finding the Fourth Proportional to 415,994.84, 574,072.77 and 234,705.14

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Solution

The fourth proportional to 415,994.84, 574,072.77 and 234,705.14 is: 323,893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,994.84 : 574,072.77 = 234,705.14 : x
  2. Step 2: Convert to fraction form
    415,994.84/574,072.77 = 234,705.14/x
  3. Step 3: Cross multiply
    415,994.84x = 574,072.77 × 234,705.14
  4. Step 4: Simplify right side
    415,994.84x = 134,737,831,924.53
  5. Step 5: Solve for x
    x = 134,737,831,924.53/415,994.84
  6. Step 6: Final answer
    x = 323,893.04

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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.