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Finding the Fourth Proportional to 306,706.95, 460,731.11 and 218,527.11

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Solution

The fourth proportional to 306,706.95, 460,731.11 and 218,527.11 is: 328,268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,706.95 : 460,731.11 = 218,527.11 : x
  2. Step 2: Convert to fraction form
    306,706.95/460,731.11 = 218,527.11/x
  3. Step 3: Cross multiply
    306,706.95x = 460,731.11 × 218,527.11
  4. Step 4: Simplify right side
    306,706.95x = 100,682,236,862.76
  5. Step 5: Solve for x
    x = 100,682,236,862.76/306,706.95
  6. Step 6: Final answer
    x = 328,268.52

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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.