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Finding the Fourth Proportional to 584,051.78, 806,163.82 and 342,386.66

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Solution

The fourth proportional to 584,051.78, 806,163.82 and 342,386.66 is: 472,594.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,051.78 : 806,163.82 = 342,386.66 : x
  2. Step 2: Convert to fraction form
    584,051.78/806,163.82 = 342,386.66/x
  3. Step 3: Cross multiply
    584,051.78x = 806,163.82 × 342,386.66
  4. Step 4: Simplify right side
    584,051.78x = 276,019,737,742.64
  5. Step 5: Solve for x
    x = 276,019,737,742.64/584,051.78
  6. Step 6: Final answer
    x = 472,594.63

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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.