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Finding the Fourth Proportional to 297,425.40, 446,429.70 and 147,834.60

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Solution

The fourth proportional to 297,425.40, 446,429.70 and 147,834.60 is: 221,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,425.40 : 446,429.70 = 147,834.60 : x
  2. Step 2: Convert to fraction form
    297,425.40/446,429.70 = 147,834.60/x
  3. Step 3: Cross multiply
    297,425.40x = 446,429.70 × 147,834.60
  4. Step 4: Simplify right side
    297,425.40x = 65,997,756,127.62
  5. Step 5: Solve for x
    x = 65,997,756,127.62/297,425.40
  6. Step 6: Final answer
    x = 221,896.84

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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.