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Finding the Fourth Proportional to 289,764.40, 434,128.20 and 178,826.80

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Solution

The fourth proportional to 289,764.40, 434,128.20 and 178,826.80 is: 267,920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,764.40 : 434,128.20 = 178,826.80 : x
  2. Step 2: Convert to fraction form
    289,764.40/434,128.20 = 178,826.80/x
  3. Step 3: Cross multiply
    289,764.40x = 434,128.20 × 178,826.80
  4. Step 4: Simplify right side
    289,764.40x = 77,633,756,795.76
  5. Step 5: Solve for x
    x = 77,633,756,795.76/289,764.40
  6. Step 6: Final answer
    x = 267,920.27

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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.