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Finding the Fourth Proportional to 297,946.60, 446,628.30 and 120,216.40

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Solution

The fourth proportional to 297,946.60, 446,628.30 and 120,216.40 is: 180,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,946.60 : 446,628.30 = 120,216.40 : x
  2. Step 2: Convert to fraction form
    297,946.60/446,628.30 = 120,216.40/x
  3. Step 3: Cross multiply
    297,946.60x = 446,628.30 × 120,216.40
  4. Step 4: Simplify right side
    297,946.60x = 53,692,046,364.12
  5. Step 5: Solve for x
    x = 53,692,046,364.12/297,946.60
  6. Step 6: Final answer
    x = 180,206.94

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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.