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Finding the Fourth Proportional to 306,940.32, 460,450.80 and 107,264.16

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Solution

The fourth proportional to 306,940.32, 460,450.80 and 107,264.16 is: 160,910.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,940.32 : 460,450.80 = 107,264.16 : x
  2. Step 2: Convert to fraction form
    306,940.32/460,450.80 = 107,264.16/x
  3. Step 3: Cross multiply
    306,940.32x = 460,450.80 × 107,264.16
  4. Step 4: Simplify right side
    306,940.32x = 49,389,868,283.33
  5. Step 5: Solve for x
    x = 49,389,868,283.33/306,940.32
  6. Step 6: Final answer
    x = 160,910.33

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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.