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Finding the Fourth Proportional to 296,000.20, 444,000.30 and 261,785.80

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Solution

The fourth proportional to 296,000.20, 444,000.30 and 261,785.80 is: 392,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,000.20 : 444,000.30 = 261,785.80 : x
  2. Step 2: Convert to fraction form
    296,000.20/444,000.30 = 261,785.80/x
  3. Step 3: Cross multiply
    296,000.20x = 444,000.30 × 261,785.80
  4. Step 4: Simplify right side
    296,000.20x = 116,232,973,735.74
  5. Step 5: Solve for x
    x = 116,232,973,735.74/296,000.20
  6. Step 6: Final answer
    x = 392,678.70

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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.