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Finding the Fourth Proportional to 602,186.83, 830,940.97 and 344,080.50

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Solution

The fourth proportional to 602,186.83, 830,940.97 and 344,080.50 is: 474,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,186.83 : 830,940.97 = 344,080.50 : x
  2. Step 2: Convert to fraction form
    602,186.83/830,940.97 = 344,080.50/x
  3. Step 3: Cross multiply
    602,186.83x = 830,940.97 × 344,080.50
  4. Step 4: Simplify right side
    602,186.83x = 285,910,584,428.09
  5. Step 5: Solve for x
    x = 285,910,584,428.09/602,186.83
  6. Step 6: Final answer
    x = 474,787.18

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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.