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Finding the Fourth Proportional to 306,951.84, 460,383.96 and 96,584.28

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Solution

The fourth proportional to 306,951.84, 460,383.96 and 96,584.28 is: 144,862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,951.84 : 460,383.96 = 96,584.28 : x
  2. Step 2: Convert to fraction form
    306,951.84/460,383.96 = 96,584.28/x
  3. Step 3: Cross multiply
    306,951.84x = 460,383.96 × 96,584.28
  4. Step 4: Simplify right side
    306,951.84x = 44,465,853,300.15
  5. Step 5: Solve for x
    x = 44,465,853,300.15/306,951.84
  6. Step 6: Final answer
    x = 144,862.64

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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.