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Finding the Fourth Proportional to 331,749, 457,813.74 and 188,509.20

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Solution

The fourth proportional to 331,749, 457,813.74 and 188,509.20 is: 260,142.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,749 : 457,813.74 = 188,509.20 : x
  2. Step 2: Convert to fraction form
    331,749/457,813.74 = 188,509.20/x
  3. Step 3: Cross multiply
    331,749x = 457,813.74 × 188,509.20
  4. Step 4: Simplify right side
    331,749x = 86,302,101,876.41
  5. Step 5: Solve for x
    x = 86,302,101,876.41/331,749
  6. Step 6: Final answer
    x = 260,142.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.