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Finding the Fourth Proportional to 501,816.80, 692,192.22 and 297,723.20

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Solution

The fourth proportional to 501,816.80, 692,192.22 and 297,723.20 is: 410,671.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,816.80 : 692,192.22 = 297,723.20 : x
  2. Step 2: Convert to fraction form
    501,816.80/692,192.22 = 297,723.20/x
  3. Step 3: Cross multiply
    501,816.80x = 692,192.22 × 297,723.20
  4. Step 4: Simplify right side
    501,816.80x = 206,081,682,753.50
  5. Step 5: Solve for x
    x = 206,081,682,753.50/501,816.80
  6. Step 6: Final answer
    x = 410,671.15

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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.