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Finding the Fourth Proportional to 305,802.68, 421,993.38 and 169,845.40

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Solution

The fourth proportional to 305,802.68, 421,993.38 and 169,845.40 is: 234,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,802.68 : 421,993.38 = 169,845.40 : x
  2. Step 2: Convert to fraction form
    305,802.68/421,993.38 = 169,845.40/x
  3. Step 3: Cross multiply
    305,802.68x = 421,993.38 × 169,845.40
  4. Step 4: Simplify right side
    305,802.68x = 71,673,634,423.45
  5. Step 5: Solve for x
    x = 71,673,634,423.45/305,802.68
  6. Step 6: Final answer
    x = 234,378.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.