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Finding the Fourth Proportional to 598,397.39, 825,784.47 and 340,274.35

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Solution

The fourth proportional to 598,397.39, 825,784.47 and 340,274.35 is: 469,576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,397.39 : 825,784.47 = 340,274.35 : x
  2. Step 2: Convert to fraction form
    598,397.39/825,784.47 = 340,274.35/x
  3. Step 3: Cross multiply
    598,397.39x = 825,784.47 × 340,274.35
  4. Step 4: Simplify right side
    598,397.39x = 280,993,274,801.58
  5. Step 5: Solve for x
    x = 280,993,274,801.58/598,397.39
  6. Step 6: Final answer
    x = 469,576.37

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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.