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Finding the Fourth Proportional to 456,064.40, 684,096.60 and 189,736.40

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Solution

The fourth proportional to 456,064.40, 684,096.60 and 189,736.40 is: 284,604.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,064.40 : 684,096.60 = 189,736.40 : x
  2. Step 2: Convert to fraction form
    456,064.40/684,096.60 = 189,736.40/x
  3. Step 3: Cross multiply
    456,064.40x = 684,096.60 × 189,736.40
  4. Step 4: Simplify right side
    456,064.40x = 129,798,026,136.24
  5. Step 5: Solve for x
    x = 129,798,026,136.24/456,064.40
  6. Step 6: Final answer
    x = 284,604.60

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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.