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Finding the Fourth Proportional to 306,972.54, 460,746.77 and 188,874.54

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Solution

The fourth proportional to 306,972.54, 460,746.77 and 188,874.54 is: 283,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,972.54 : 460,746.77 = 188,874.54 : x
  2. Step 2: Convert to fraction form
    306,972.54/460,746.77 = 188,874.54/x
  3. Step 3: Cross multiply
    306,972.54x = 460,746.77 × 188,874.54
  4. Step 4: Simplify right side
    306,972.54x = 87,023,333,295.86
  5. Step 5: Solve for x
    x = 87,023,333,295.86/306,972.54
  6. Step 6: Final answer
    x = 283,488.98

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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.