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Finding the Fourth Proportional to 289,403.60, 434,105.40 and 120,894.80

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Solution

The fourth proportional to 289,403.60, 434,105.40 and 120,894.80 is: 181,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,403.60 : 434,105.40 = 120,894.80 : x
  2. Step 2: Convert to fraction form
    289,403.60/434,105.40 = 120,894.80/x
  3. Step 3: Cross multiply
    289,403.60x = 434,105.40 × 120,894.80
  4. Step 4: Simplify right side
    289,403.60x = 52,481,085,511.92
  5. Step 5: Solve for x
    x = 52,481,085,511.92/289,403.60
  6. Step 6: Final answer
    x = 181,342.20

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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.