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Finding the Fourth Proportional to 702,972.19, 970,099.72 and 380,682.21

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Solution

The fourth proportional to 702,972.19, 970,099.72 and 380,682.21 is: 525,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,972.19 : 970,099.72 = 380,682.21 : x
  2. Step 2: Convert to fraction form
    702,972.19/970,099.72 = 380,682.21/x
  3. Step 3: Cross multiply
    702,972.19x = 970,099.72 × 380,682.21
  4. Step 4: Simplify right side
    702,972.19x = 369,299,701,169.26
  5. Step 5: Solve for x
    x = 369,299,701,169.26/702,972.19
  6. Step 6: Final answer
    x = 525,340.41

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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.