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Finding the Fourth Proportional to 289,783.44, 434,778 and 129,846.80

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Solution

The fourth proportional to 289,783.44, 434,778 and 129,846.80 is: 194,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,783.44 : 434,778 = 129,846.80 : x
  2. Step 2: Convert to fraction form
    289,783.44/434,778 = 129,846.80/x
  3. Step 3: Cross multiply
    289,783.44x = 434,778 × 129,846.80
  4. Step 4: Simplify right side
    289,783.44x = 56,454,532,010.40
  5. Step 5: Solve for x
    x = 56,454,532,010.40/289,783.44
  6. Step 6: Final answer
    x = 194,816.28

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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.