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Finding the Fourth Proportional to 952,074.72, 1,428,116.94 and 320,994

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Solution

The fourth proportional to 952,074.72, 1,428,116.94 and 320,994 is: 481,492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,074.72 : 1,428,116.94 = 320,994 : x
  2. Step 2: Convert to fraction form
    952,074.72/1,428,116.94 = 320,994/x
  3. Step 3: Cross multiply
    952,074.72x = 1,428,116.94 × 320,994
  4. Step 4: Simplify right side
    952,074.72x = 458,416,969,038.36
  5. Step 5: Solve for x
    x = 458,416,969,038.36/952,074.72
  6. Step 6: Final answer
    x = 481,492.64

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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.