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Finding the Fourth Proportional to 702,972.96, 970,103.21 and 380,683.41

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Solution

The fourth proportional to 702,972.96, 970,103.21 and 380,683.41 is: 525,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,972.96 : 970,103.21 = 380,683.41 : x
  2. Step 2: Convert to fraction form
    702,972.96/970,103.21 = 380,683.41/x
  3. Step 3: Cross multiply
    702,972.96x = 970,103.21 × 380,683.41
  4. Step 4: Simplify right side
    702,972.96x = 369,302,198,034.75
  5. Step 5: Solve for x
    x = 369,302,198,034.75/702,972.96
  6. Step 6: Final answer
    x = 525,343.39

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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.