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Finding the Fourth Proportional to 461,764.84, 637,229.26 and 257,818.88

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Solution

The fourth proportional to 461,764.84, 637,229.26 and 257,818.88 is: 355,786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,764.84 : 637,229.26 = 257,818.88 : x
  2. Step 2: Convert to fraction form
    461,764.84/637,229.26 = 257,818.88/x
  3. Step 3: Cross multiply
    461,764.84x = 637,229.26 × 257,818.88
  4. Step 4: Simplify right side
    461,764.84x = 164,289,734,116.43
  5. Step 5: Solve for x
    x = 164,289,734,116.43/461,764.84
  6. Step 6: Final answer
    x = 355,786.58

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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.