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Finding the Fourth Proportional to 519,842, 717,384.12 and 281,378

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Solution

The fourth proportional to 519,842, 717,384.12 and 281,378 is: 388,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,842 : 717,384.12 = 281,378 : x
  2. Step 2: Convert to fraction form
    519,842/717,384.12 = 281,378/x
  3. Step 3: Cross multiply
    519,842x = 717,384.12 × 281,378
  4. Step 4: Simplify right side
    519,842x = 201,856,108,917.36
  5. Step 5: Solve for x
    x = 201,856,108,917.36/519,842
  6. Step 6: Final answer
    x = 388,302.81

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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.