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Finding the Fourth Proportional to 702,289.97, 969,153.24 and 379,993

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Solution

The fourth proportional to 702,289.97, 969,153.24 and 379,993 is: 524,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,289.97 : 969,153.24 = 379,993 : x
  2. Step 2: Convert to fraction form
    702,289.97/969,153.24 = 379,993/x
  3. Step 3: Cross multiply
    702,289.97x = 969,153.24 × 379,993
  4. Step 4: Simplify right side
    702,289.97x = 368,271,447,127.32
  5. Step 5: Solve for x
    x = 368,271,447,127.32/702,289.97
  6. Step 6: Final answer
    x = 524,386.60

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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.