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Finding the Fourth Proportional to 584,265.56, 806,420.81 and 342,625.95

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Solution

The fourth proportional to 584,265.56, 806,420.81 and 342,625.95 is: 472,902.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,265.56 : 806,420.81 = 342,625.95 : x
  2. Step 2: Convert to fraction form
    584,265.56/806,420.81 = 342,625.95/x
  3. Step 3: Cross multiply
    584,265.56x = 806,420.81 × 342,625.95
  4. Step 4: Simplify right side
    584,265.56x = 276,300,696,982.58
  5. Step 5: Solve for x
    x = 276,300,696,982.58/584,265.56
  6. Step 6: Final answer
    x = 472,902.59

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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.