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Finding the Fourth Proportional to 298,762.62, 412,312.77 and 182,525.82

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Solution

The fourth proportional to 298,762.62, 412,312.77 and 182,525.82 is: 251,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,762.62 : 412,312.77 = 182,525.82 : x
  2. Step 2: Convert to fraction form
    298,762.62/412,312.77 = 182,525.82/x
  3. Step 3: Cross multiply
    298,762.62x = 412,312.77 × 182,525.82
  4. Step 4: Simplify right side
    298,762.62x = 75,257,726,440.72
  5. Step 5: Solve for x
    x = 75,257,726,440.72/298,762.62
  6. Step 6: Final answer
    x = 251,898.07

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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.