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Finding the Fourth Proportional to 702,918.32, 970,022.88 and 380,621.60

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Solution

The fourth proportional to 702,918.32, 970,022.88 and 380,621.60 is: 525,255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,918.32 : 970,022.88 = 380,621.60 : x
  2. Step 2: Convert to fraction form
    702,918.32/970,022.88 = 380,621.60/x
  3. Step 3: Cross multiply
    702,918.32x = 970,022.88 × 380,621.60
  4. Step 4: Simplify right side
    702,918.32x = 369,211,660,622.21
  5. Step 5: Solve for x
    x = 369,211,660,622.21/702,918.32
  6. Step 6: Final answer
    x = 525,255.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.