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Finding the Fourth Proportional to 395,940.84, 593,465.04 and 196,404.24

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Solution

The fourth proportional to 395,940.84, 593,465.04 and 196,404.24 is: 294,385.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,940.84 : 593,465.04 = 196,404.24 : x
  2. Step 2: Convert to fraction form
    395,940.84/593,465.04 = 196,404.24/x
  3. Step 3: Cross multiply
    395,940.84x = 593,465.04 × 196,404.24
  4. Step 4: Simplify right side
    395,940.84x = 116,559,050,147.77
  5. Step 5: Solve for x
    x = 116,559,050,147.77/395,940.84
  6. Step 6: Final answer
    x = 294,385.02

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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.