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Finding the Fourth Proportional to 412,034.50, 567,285.78 and 321,274.00

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Solution

The fourth proportional to 412,034.50, 567,285.78 and 321,274.00 is: 442,327.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,034.50 : 567,285.78 = 321,274.00 : x
  2. Step 2: Convert to fraction form
    412,034.50/567,285.78 = 321,274.00/x
  3. Step 3: Cross multiply
    412,034.50x = 567,285.78 × 321,274.00
  4. Step 4: Simplify right side
    412,034.50x = 182,254,170,265.51
  5. Step 5: Solve for x
    x = 182,254,170,265.51/412,034.50
  6. Step 6: Final answer
    x = 442,327.45

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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.