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Finding the Fourth Proportional to 702,947, 1,054,202.42 and 253,609.46

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Solution

The fourth proportional to 702,947, 1,054,202.42 and 253,609.46 is: 380,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,947 : 1,054,202.42 = 253,609.46 : x
  2. Step 2: Convert to fraction form
    702,947/1,054,202.42 = 253,609.46/x
  3. Step 3: Cross multiply
    702,947x = 1,054,202.42 × 253,609.46
  4. Step 4: Simplify right side
    702,947x = 267,355,701,195.88
  5. Step 5: Solve for x
    x = 267,355,701,195.88/702,947
  6. Step 6: Final answer
    x = 380,335.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.