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Finding the Fourth Proportional to 306,883.33, 460,029.75 and 157,194.12

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Solution

The fourth proportional to 306,883.33, 460,029.75 and 157,194.12 is: 235,639.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,883.33 : 460,029.75 = 157,194.12 : x
  2. Step 2: Convert to fraction form
    306,883.33/460,029.75 = 157,194.12/x
  3. Step 3: Cross multiply
    306,883.33x = 460,029.75 × 157,194.12
  4. Step 4: Simplify right side
    306,883.33x = 72,313,971,599.36
  5. Step 5: Solve for x
    x = 72,313,971,599.36/306,883.33
  6. Step 6: Final answer
    x = 235,639.94

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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.