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Finding the Fourth Proportional to 306,805.12, 460,227.52 and 96,451.20

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Solution

The fourth proportional to 306,805.12, 460,227.52 and 96,451.20 is: 144,683.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,805.12 : 460,227.52 = 96,451.20 : x
  2. Step 2: Convert to fraction form
    306,805.12/460,227.52 = 96,451.20/x
  3. Step 3: Cross multiply
    306,805.12x = 460,227.52 × 96,451.20
  4. Step 4: Simplify right side
    306,805.12x = 44,389,496,577.02
  5. Step 5: Solve for x
    x = 44,389,496,577.02/306,805.12
  6. Step 6: Final answer
    x = 144,683.04

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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.