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Finding the Fourth Proportional to 395,452.98, 593,056.62 and 142,700.67

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Solution

The fourth proportional to 395,452.98, 593,056.62 and 142,700.67 is: 214,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,452.98 : 593,056.62 = 142,700.67 : x
  2. Step 2: Convert to fraction form
    395,452.98/593,056.62 = 142,700.67/x
  3. Step 3: Cross multiply
    395,452.98x = 593,056.62 × 142,700.67
  4. Step 4: Simplify right side
    395,452.98x = 84,629,577,021.94
  5. Step 5: Solve for x
    x = 84,629,577,021.94/395,452.98
  6. Step 6: Final answer
    x = 214,006.67

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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.