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Finding the Fourth Proportional to 306,777.32, 460,135.74 and 96,409.64

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Solution

The fourth proportional to 306,777.32, 460,135.74 and 96,409.64 is: 144,604.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,777.32 : 460,135.74 = 96,409.64 : x
  2. Step 2: Convert to fraction form
    306,777.32/460,135.74 = 96,409.64/x
  3. Step 3: Cross multiply
    306,777.32x = 460,135.74 × 96,409.64
  4. Step 4: Simplify right side
    306,777.32x = 44,361,521,044.53
  5. Step 5: Solve for x
    x = 44,361,521,044.53/306,777.32
  6. Step 6: Final answer
    x = 144,604.96

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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.