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Finding the Fourth Proportional to 461,768.72, 637,234.58 and 257,822.75

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Solution

The fourth proportional to 461,768.72, 637,234.58 and 257,822.75 is: 355,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,768.72 : 637,234.58 = 257,822.75 : x
  2. Step 2: Convert to fraction form
    461,768.72/637,234.58 = 257,822.75/x
  3. Step 3: Cross multiply
    461,768.72x = 637,234.58 × 257,822.75
  4. Step 4: Simplify right side
    461,768.72x = 164,293,574,048.34
  5. Step 5: Solve for x
    x = 164,293,574,048.34/461,768.72
  6. Step 6: Final answer
    x = 355,791.91

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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.