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Finding the Fourth Proportional to 395,459.82, 593,217.41 and 158,802.50

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Solution

The fourth proportional to 395,459.82, 593,217.41 and 158,802.50 is: 238,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,459.82 : 593,217.41 = 158,802.50 : x
  2. Step 2: Convert to fraction form
    395,459.82/593,217.41 = 158,802.50/x
  3. Step 3: Cross multiply
    395,459.82x = 593,217.41 × 158,802.50
  4. Step 4: Simplify right side
    395,459.82x = 94,204,407,751.53
  5. Step 5: Solve for x
    x = 94,204,407,751.53/395,459.82
  6. Step 6: Final answer
    x = 238,214.87

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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.