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Finding the Fourth Proportional to 354,304.86, 530,959.95 and 193,968.60

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Solution

The fourth proportional to 354,304.86, 530,959.95 and 193,968.60 is: 290,680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,304.86 : 530,959.95 = 193,968.60 : x
  2. Step 2: Convert to fraction form
    354,304.86/530,959.95 = 193,968.60/x
  3. Step 3: Cross multiply
    354,304.86x = 530,959.95 × 193,968.60
  4. Step 4: Simplify right side
    354,304.86x = 102,989,558,157.57
  5. Step 5: Solve for x
    x = 102,989,558,157.57/354,304.86
  6. Step 6: Final answer
    x = 290,680.63

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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.