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Finding the Fourth Proportional to 306,942.84, 460,370.52 and 96,575.31

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Solution

The fourth proportional to 306,942.84, 460,370.52 and 96,575.31 is: 144,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,942.84 : 460,370.52 = 96,575.31 : x
  2. Step 2: Convert to fraction form
    306,942.84/460,370.52 = 96,575.31/x
  3. Step 3: Cross multiply
    306,942.84x = 460,370.52 × 96,575.31
  4. Step 4: Simplify right side
    306,942.84x = 44,460,425,683.86
  5. Step 5: Solve for x
    x = 44,460,425,683.86/306,942.84
  6. Step 6: Final answer
    x = 144,849.20

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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.