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Finding the Fourth Proportional to 306,492.46, 459,734.06 and 137,893.72

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Solution

The fourth proportional to 306,492.46, 459,734.06 and 137,893.72 is: 206,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,492.46 : 459,734.06 = 137,893.72 : x
  2. Step 2: Convert to fraction form
    306,492.46/459,734.06 = 137,893.72/x
  3. Step 3: Cross multiply
    306,492.46x = 459,734.06 × 137,893.72
  4. Step 4: Simplify right side
    306,492.46x = 63,394,439,744.10
  5. Step 5: Solve for x
    x = 63,394,439,744.10/306,492.46
  6. Step 6: Final answer
    x = 206,838.50

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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.