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Finding the Fourth Proportional to 456,492.80, 684,739.20 and 190,164.80

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Solution

The fourth proportional to 456,492.80, 684,739.20 and 190,164.80 is: 285,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,492.80 : 684,739.20 = 190,164.80 : x
  2. Step 2: Convert to fraction form
    456,492.80/684,739.20 = 190,164.80/x
  3. Step 3: Cross multiply
    456,492.80x = 684,739.20 × 190,164.80
  4. Step 4: Simplify right side
    456,492.80x = 130,213,293,020.16
  5. Step 5: Solve for x
    x = 130,213,293,020.16/456,492.80
  6. Step 6: Final answer
    x = 285,247.20

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Similar ratio
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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.