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Finding the Fourth Proportional to 487,615.80, 729,998.10 and 347,647.80

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Solution

The fourth proportional to 487,615.80, 729,998.10 and 347,647.80 is: 520,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,615.80 : 729,998.10 = 347,647.80 : x
  2. Step 2: Convert to fraction form
    487,615.80/729,998.10 = 347,647.80/x
  3. Step 3: Cross multiply
    487,615.80x = 729,998.10 × 347,647.80
  4. Step 4: Simplify right side
    487,615.80x = 253,782,233,469.18
  5. Step 5: Solve for x
    x = 253,782,233,469.18/487,615.80
  6. Step 6: Final answer
    x = 520,455.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.