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Finding the Fourth Proportional to 524,195.98, 721,893.08 and 472,069.24

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Solution

The fourth proportional to 524,195.98, 721,893.08 and 472,069.24 is: 650,107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,195.98 : 721,893.08 = 472,069.24 : x
  2. Step 2: Convert to fraction form
    524,195.98/721,893.08 = 472,069.24/x
  3. Step 3: Cross multiply
    524,195.98x = 721,893.08 × 472,069.24
  4. Step 4: Simplify right side
    524,195.98x = 340,783,515,276.51
  5. Step 5: Solve for x
    x = 340,783,515,276.51/524,195.98
  6. Step 6: Final answer
    x = 650,107.07

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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.