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Finding the Fourth Proportional to 601,677.92, 830,398.44 and 347,023.52

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Solution

The fourth proportional to 601,677.92, 830,398.44 and 347,023.52 is: 478,940.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,677.92 : 830,398.44 = 347,023.52 : x
  2. Step 2: Convert to fraction form
    601,677.92/830,398.44 = 347,023.52/x
  3. Step 3: Cross multiply
    601,677.92x = 830,398.44 × 347,023.52
  4. Step 4: Simplify right side
    601,677.92x = 288,167,789,651.31
  5. Step 5: Solve for x
    x = 288,167,789,651.31/601,677.92
  6. Step 6: Final answer
    x = 478,940.28

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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.