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Finding the Fourth Proportional to 467,782.71, 645,706.13 and 276,795.69

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Solution

The fourth proportional to 467,782.71, 645,706.13 and 276,795.69 is: 382,076.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,782.71 : 645,706.13 = 276,795.69 : x
  2. Step 2: Convert to fraction form
    467,782.71/645,706.13 = 276,795.69/x
  3. Step 3: Cross multiply
    467,782.71x = 645,706.13 × 276,795.69
  4. Step 4: Simplify right side
    467,782.71x = 178,728,672,406.60
  5. Step 5: Solve for x
    x = 178,728,672,406.60/467,782.71
  6. Step 6: Final answer
    x = 382,076.27

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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.