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Finding the Fourth Proportional to 383,477.76, 529,338.24 and 232,571.52

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Solution

The fourth proportional to 383,477.76, 529,338.24 and 232,571.52 is: 321,032.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,477.76 : 529,338.24 = 232,571.52 : x
  2. Step 2: Convert to fraction form
    383,477.76/529,338.24 = 232,571.52/x
  3. Step 3: Cross multiply
    383,477.76x = 529,338.24 × 232,571.52
  4. Step 4: Simplify right side
    383,477.76x = 123,108,999,070.93
  5. Step 5: Solve for x
    x = 123,108,999,070.93/383,477.76
  6. Step 6: Final answer
    x = 321,032.96

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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.