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Finding the Fourth Proportional to 395,311.54, 593,078.02 and 158,820.30

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Solution

The fourth proportional to 395,311.54, 593,078.02 and 158,820.30 is: 238,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,311.54 : 593,078.02 = 158,820.30 : x
  2. Step 2: Convert to fraction form
    395,311.54/593,078.02 = 158,820.30/x
  3. Step 3: Cross multiply
    395,311.54x = 593,078.02 × 158,820.30
  4. Step 4: Simplify right side
    395,311.54x = 94,192,829,059.81
  5. Step 5: Solve for x
    x = 94,192,829,059.81/395,311.54
  6. Step 6: Final answer
    x = 238,274.93

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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.