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Finding the Fourth Proportional to 298,205.20, 446,962.20 and 120,624.40

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Solution

The fourth proportional to 298,205.20, 446,962.20 and 120,624.40 is: 180,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,205.20 : 446,962.20 = 120,624.40 : x
  2. Step 2: Convert to fraction form
    298,205.20/446,962.20 = 120,624.40/x
  3. Step 3: Cross multiply
    298,205.20x = 446,962.20 × 120,624.40
  4. Step 4: Simplify right side
    298,205.20x = 53,914,547,197.68
  5. Step 5: Solve for x
    x = 53,914,547,197.68/298,205.20
  6. Step 6: Final answer
    x = 180,796.80

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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.