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Finding the Fourth Proportional to 400,152.14, 600,396.69 and 175,396.58

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Solution

The fourth proportional to 400,152.14, 600,396.69 and 175,396.58 is: 263,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,152.14 : 600,396.69 = 175,396.58 : x
  2. Step 2: Convert to fraction form
    400,152.14/600,396.69 = 175,396.58/x
  3. Step 3: Cross multiply
    400,152.14x = 600,396.69 × 175,396.58
  4. Step 4: Simplify right side
    400,152.14x = 105,307,523,067.34
  5. Step 5: Solve for x
    x = 105,307,523,067.34/400,152.14
  6. Step 6: Final answer
    x = 263,168.71

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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.