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Finding the Fourth Proportional to 703,087.56, 970,258.50 and 380,796.84

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Solution

The fourth proportional to 703,087.56, 970,258.50 and 380,796.84 is: 525,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,087.56 : 970,258.50 = 380,796.84 : x
  2. Step 2: Convert to fraction form
    703,087.56/970,258.50 = 380,796.84/x
  3. Step 3: Cross multiply
    703,087.56x = 970,258.50 × 380,796.84
  4. Step 4: Simplify right side
    703,087.56x = 369,471,370,783.14
  5. Step 5: Solve for x
    x = 369,471,370,783.14/703,087.56
  6. Step 6: Final answer
    x = 525,498.38

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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.