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Finding the Fourth Proportional to 306,863.46, 460,367.64 and 96,501.42

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Solution

The fourth proportional to 306,863.46, 460,367.64 and 96,501.42 is: 144,774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,863.46 : 460,367.64 = 96,501.42 : x
  2. Step 2: Convert to fraction form
    306,863.46/460,367.64 = 96,501.42/x
  3. Step 3: Cross multiply
    306,863.46x = 460,367.64 × 96,501.42
  4. Step 4: Simplify right side
    306,863.46x = 44,426,130,982.05
  5. Step 5: Solve for x
    x = 44,426,130,982.05/306,863.46
  6. Step 6: Final answer
    x = 144,774.91

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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.