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Finding the Fourth Proportional to 522,520.94, 721,107.43 and 293,150.88

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Solution

The fourth proportional to 522,520.94, 721,107.43 and 293,150.88 is: 404,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,520.94 : 721,107.43 = 293,150.88 : x
  2. Step 2: Convert to fraction form
    522,520.94/721,107.43 = 293,150.88/x
  3. Step 3: Cross multiply
    522,520.94x = 721,107.43 × 293,150.88
  4. Step 4: Simplify right side
    522,520.94x = 211,393,276,946.16
  5. Step 5: Solve for x
    x = 211,393,276,946.16/522,520.94
  6. Step 6: Final answer
    x = 404,564.22

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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.