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Finding the Fourth Proportional to 288,905.20, 433,357.80 and 194,426.80

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Solution

The fourth proportional to 288,905.20, 433,357.80 and 194,426.80 is: 291,640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,905.20 : 433,357.80 = 194,426.80 : x
  2. Step 2: Convert to fraction form
    288,905.20/433,357.80 = 194,426.80/x
  3. Step 3: Cross multiply
    288,905.20x = 433,357.80 × 194,426.80
  4. Step 4: Simplify right side
    288,905.20x = 84,256,370,309.04
  5. Step 5: Solve for x
    x = 84,256,370,309.04/288,905.20
  6. Step 6: Final answer
    x = 291,640.20

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1.5x scale

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.