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Finding the Fourth Proportional to 702,996, 970,129.38 and 380,698.62

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Solution

The fourth proportional to 702,996, 970,129.38 and 380,698.62 is: 525,361.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,996 : 970,129.38 = 380,698.62 : x
  2. Step 2: Convert to fraction form
    702,996/970,129.38 = 380,698.62/x
  3. Step 3: Cross multiply
    702,996x = 970,129.38 × 380,698.62
  4. Step 4: Simplify right side
    702,996x = 369,326,916,187.46
  5. Step 5: Solve for x
    x = 369,326,916,187.46/702,996
  6. Step 6: Final answer
    x = 525,361.33

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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.