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Finding the Fourth Proportional to 341,285.84, 470,941.76 and 190,392.56

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Solution

The fourth proportional to 341,285.84, 470,941.76 and 190,392.56 is: 262,723.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,285.84 : 470,941.76 = 190,392.56 : x
  2. Step 2: Convert to fraction form
    341,285.84/470,941.76 = 190,392.56/x
  3. Step 3: Cross multiply
    341,285.84x = 470,941.76 × 190,392.56
  4. Step 4: Simplify right side
    341,285.84x = 89,663,807,297.31
  5. Step 5: Solve for x
    x = 89,663,807,297.31/341,285.84
  6. Step 6: Final answer
    x = 262,723.49

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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.