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Finding the Fourth Proportional to 338,762.94, 508,124.97 and 151,905.66

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Solution

The fourth proportional to 338,762.94, 508,124.97 and 151,905.66 is: 227,849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,762.94 : 508,124.97 = 151,905.66 : x
  2. Step 2: Convert to fraction form
    338,762.94/508,124.97 = 151,905.66/x
  3. Step 3: Cross multiply
    338,762.94x = 508,124.97 × 151,905.66
  4. Step 4: Simplify right side
    338,762.94x = 77,187,058,930.33
  5. Step 5: Solve for x
    x = 77,187,058,930.33/338,762.94
  6. Step 6: Final answer
    x = 227,849.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.