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Finding the Fourth Proportional to 379,576.32, 523,476 and 314,943.18

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Solution

The fourth proportional to 379,576.32, 523,476 and 314,943.18 is: 434,340.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,576.32 : 523,476 = 314,943.18 : x
  2. Step 2: Convert to fraction form
    379,576.32/523,476 = 314,943.18/x
  3. Step 3: Cross multiply
    379,576.32x = 523,476 × 314,943.18
  4. Step 4: Simplify right side
    379,576.32x = 164,865,196,093.68
  5. Step 5: Solve for x
    x = 164,865,196,093.68/379,576.32
  6. Step 6: Final answer
    x = 434,340.05

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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.