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Finding the Fourth Proportional to 702,394.50, 969,304.38 and 380,104.56

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Solution

The fourth proportional to 702,394.50, 969,304.38 and 380,104.56 is: 524,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,394.50 : 969,304.38 = 380,104.56 : x
  2. Step 2: Convert to fraction form
    702,394.50/969,304.38 = 380,104.56/x
  3. Step 3: Cross multiply
    702,394.50x = 969,304.38 × 380,104.56
  4. Step 4: Simplify right side
    702,394.50x = 368,437,014,865.97
  5. Step 5: Solve for x
    x = 368,437,014,865.97/702,394.50
  6. Step 6: Final answer
    x = 524,544.28

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1.5x scale

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.