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Finding the Fourth Proportional to 702,976.16, 970,102.24 and 380,678.88

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Solution

The fourth proportional to 702,976.16, 970,102.24 and 380,678.88 is: 525,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,976.16 : 970,102.24 = 380,678.88 : x
  2. Step 2: Convert to fraction form
    702,976.16/970,102.24 = 380,678.88/x
  3. Step 3: Cross multiply
    702,976.16x = 970,102.24 × 380,678.88
  4. Step 4: Simplify right side
    702,976.16x = 369,297,434,208.69
  5. Step 5: Solve for x
    x = 369,297,434,208.69/702,976.16
  6. Step 6: Final answer
    x = 525,334.22

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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.