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Finding the Fourth Proportional to 289,825.80, 434,738.70 and 279,328.20

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Solution

The fourth proportional to 289,825.80, 434,738.70 and 279,328.20 is: 418,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,825.80 : 434,738.70 = 279,328.20 : x
  2. Step 2: Convert to fraction form
    289,825.80/434,738.70 = 279,328.20/x
  3. Step 3: Cross multiply
    289,825.80x = 434,738.70 × 279,328.20
  4. Step 4: Simplify right side
    289,825.80x = 121,434,778,541.34
  5. Step 5: Solve for x
    x = 121,434,778,541.34/289,825.80
  6. Step 6: Final answer
    x = 418,992.30

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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.