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Finding the Fourth Proportional to 456,471.20, 684,706.80 and 119,511.20

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Solution

The fourth proportional to 456,471.20, 684,706.80 and 119,511.20 is: 179,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,471.20 : 684,706.80 = 119,511.20 : x
  2. Step 2: Convert to fraction form
    456,471.20/684,706.80 = 119,511.20/x
  3. Step 3: Cross multiply
    456,471.20x = 684,706.80 × 119,511.20
  4. Step 4: Simplify right side
    456,471.20x = 81,830,131,316.16
  5. Step 5: Solve for x
    x = 81,830,131,316.16/456,471.20
  6. Step 6: Final answer
    x = 179,266.80

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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.