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Finding the Fourth Proportional to 297,962.40, 446,948.46 and 73,323.48

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Solution

The fourth proportional to 297,962.40, 446,948.46 and 73,323.48 is: 109,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,962.40 : 446,948.46 = 73,323.48 : x
  2. Step 2: Convert to fraction form
    297,962.40/446,948.46 = 73,323.48/x
  3. Step 3: Cross multiply
    297,962.40x = 446,948.46 × 73,323.48
  4. Step 4: Simplify right side
    297,962.40x = 32,771,816,467.84
  5. Step 5: Solve for x
    x = 32,771,816,467.84/297,962.40
  6. Step 6: Final answer
    x = 109,986.42

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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.