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Finding the Fourth Proportional to 306,693.64, 460,113.21 and 96,331.58

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Solution

The fourth proportional to 306,693.64, 460,113.21 and 96,331.58 is: 144,520.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,693.64 : 460,113.21 = 96,331.58 : x
  2. Step 2: Convert to fraction form
    306,693.64/460,113.21 = 96,331.58/x
  3. Step 3: Cross multiply
    306,693.64x = 460,113.21 × 96,331.58
  4. Step 4: Simplify right side
    306,693.64x = 44,323,431,923.03
  5. Step 5: Solve for x
    x = 44,323,431,923.03/306,693.64
  6. Step 6: Final answer
    x = 144,520.22

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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.