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Finding the Fourth Proportional to 703,245.24, 970,469.64 and 380,947.32

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Solution

The fourth proportional to 703,245.24, 970,469.64 and 380,947.32 is: 525,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,245.24 : 970,469.64 = 380,947.32 : x
  2. Step 2: Convert to fraction form
    703,245.24/970,469.64 = 380,947.32/x
  3. Step 3: Cross multiply
    703,245.24x = 970,469.64 × 380,947.32
  4. Step 4: Simplify right side
    703,245.24x = 369,697,808,499.37
  5. Step 5: Solve for x
    x = 369,697,808,499.37/703,245.24
  6. Step 6: Final answer
    x = 525,702.54

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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.