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Finding the Fourth Proportional to 452,322, 678,794.04 and 156,834

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Solution

The fourth proportional to 452,322, 678,794.04 and 156,834 is: 235,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,322 : 678,794.04 = 156,834 : x
  2. Step 2: Convert to fraction form
    452,322/678,794.04 = 156,834/x
  3. Step 3: Cross multiply
    452,322x = 678,794.04 × 156,834
  4. Step 4: Simplify right side
    452,322x = 106,457,984,469.36
  5. Step 5: Solve for x
    x = 106,457,984,469.36/452,322
  6. Step 6: Final answer
    x = 235,358.85

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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.