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Finding the Fourth Proportional to 564,064.52, 777,969.06 and 349,323.80

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Solution

The fourth proportional to 564,064.52, 777,969.06 and 349,323.80 is: 481,794.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,064.52 : 777,969.06 = 349,323.80 : x
  2. Step 2: Convert to fraction form
    564,064.52/777,969.06 = 349,323.80/x
  3. Step 3: Cross multiply
    564,064.52x = 777,969.06 × 349,323.80
  4. Step 4: Simplify right side
    564,064.52x = 271,763,108,321.63
  5. Step 5: Solve for x
    x = 271,763,108,321.63/564,064.52
  6. Step 6: Final answer
    x = 481,794.37

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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.