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Finding the Fourth Proportional to 395,461.20, 593,219.47 and 158,803.88

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Solution

The fourth proportional to 395,461.20, 593,219.47 and 158,803.88 is: 238,216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,461.20 : 593,219.47 = 158,803.88 : x
  2. Step 2: Convert to fraction form
    395,461.20/593,219.47 = 158,803.88/x
  3. Step 3: Cross multiply
    395,461.20x = 593,219.47 × 158,803.88
  4. Step 4: Simplify right side
    395,461.20x = 94,205,550,164.44
  5. Step 5: Solve for x
    x = 94,205,550,164.44/395,461.20
  6. Step 6: Final answer
    x = 238,216.92

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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.