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Finding the Fourth Proportional to 598,704.64, 826,204.80 and 330,415.36

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Solution

The fourth proportional to 598,704.64, 826,204.80 and 330,415.36 is: 455,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,704.64 : 826,204.80 = 330,415.36 : x
  2. Step 2: Convert to fraction form
    598,704.64/826,204.80 = 330,415.36/x
  3. Step 3: Cross multiply
    598,704.64x = 826,204.80 × 330,415.36
  4. Step 4: Simplify right side
    598,704.64x = 272,990,756,425.73
  5. Step 5: Solve for x
    x = 272,990,756,425.73/598,704.64
  6. Step 6: Final answer
    x = 455,969.00

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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.