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Finding the Fourth Proportional to 702,491.16, 969,429.42 and 380,193.60

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Solution

The fourth proportional to 702,491.16, 969,429.42 and 380,193.60 is: 524,662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,491.16 : 969,429.42 = 380,193.60 : x
  2. Step 2: Convert to fraction form
    702,491.16/969,429.42 = 380,193.60/x
  3. Step 3: Cross multiply
    702,491.16x = 969,429.42 × 380,193.60
  4. Step 4: Simplify right side
    702,491.16x = 368,570,861,135.71
  5. Step 5: Solve for x
    x = 368,570,861,135.71/702,491.16
  6. Step 6: Final answer
    x = 524,662.63

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Why These Related Problems?

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