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Finding the Fourth Proportional to 336,364.47, 464,295.44 and 200,441.05

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Solution

The fourth proportional to 336,364.47, 464,295.44 and 200,441.05 is: 276,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,364.47 : 464,295.44 = 200,441.05 : x
  2. Step 2: Convert to fraction form
    336,364.47/464,295.44 = 200,441.05/x
  3. Step 3: Cross multiply
    336,364.47x = 464,295.44 × 200,441.05
  4. Step 4: Simplify right side
    336,364.47x = 93,063,865,503.81
  5. Step 5: Solve for x
    x = 93,063,865,503.81/336,364.47
  6. Step 6: Final answer
    x = 276,675.68

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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.