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Finding the Fourth Proportional to 289,834.40, 434,967.60 and 149,520.80

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Solution

The fourth proportional to 289,834.40, 434,967.60 and 149,520.80 is: 224,392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,834.40 : 434,967.60 = 149,520.80 : x
  2. Step 2: Convert to fraction form
    289,834.40/434,967.60 = 149,520.80/x
  3. Step 3: Cross multiply
    289,834.40x = 434,967.60 × 149,520.80
  4. Step 4: Simplify right side
    289,834.40x = 65,036,703,526.08
  5. Step 5: Solve for x
    x = 65,036,703,526.08/289,834.40
  6. Step 6: Final answer
    x = 224,392.63

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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.