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Finding the Fourth Proportional to 306,706.27, 460,101.32 and 106,996.72

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Solution

The fourth proportional to 306,706.27, 460,101.32 and 106,996.72 is: 160,509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,706.27 : 460,101.32 = 106,996.72 : x
  2. Step 2: Convert to fraction form
    306,706.27/460,101.32 = 106,996.72/x
  3. Step 3: Cross multiply
    306,706.27x = 460,101.32 × 106,996.72
  4. Step 4: Simplify right side
    306,706.27x = 49,229,331,224.91
  5. Step 5: Solve for x
    x = 49,229,331,224.91/306,706.27
  6. Step 6: Final answer
    x = 160,509.70

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1.5x scale

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.