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Finding the Fourth Proportional to 920,996, 1,381,571.76 and 256,148

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Solution

The fourth proportional to 920,996, 1,381,571.76 and 256,148 is: 384,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,996 : 1,381,571.76 = 256,148 : x
  2. Step 2: Convert to fraction form
    920,996/1,381,571.76 = 256,148/x
  3. Step 3: Cross multiply
    920,996x = 1,381,571.76 × 256,148
  4. Step 4: Simplify right side
    920,996x = 353,886,843,180.48
  5. Step 5: Solve for x
    x = 353,886,843,180.48/920,996
  6. Step 6: Final answer
    x = 384,243.63

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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.