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Finding the Fourth Proportional to 602,694.10, 831,715.43 and 330,766.47

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Solution

The fourth proportional to 602,694.10, 831,715.43 and 330,766.47 is: 456,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,694.10 : 831,715.43 = 330,766.47 : x
  2. Step 2: Convert to fraction form
    602,694.10/831,715.43 = 330,766.47/x
  3. Step 3: Cross multiply
    602,694.10x = 831,715.43 × 330,766.47
  4. Step 4: Simplify right side
    602,694.10x = 275,103,575,171.80
  5. Step 5: Solve for x
    x = 275,103,575,171.80/602,694.10
  6. Step 6: Final answer
    x = 456,456.39

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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.