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Finding the Fourth Proportional to 525,378.56, 787,924.27 and 188,356.60

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Solution

The fourth proportional to 525,378.56, 787,924.27 and 188,356.60 is: 282,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,378.56 : 787,924.27 = 188,356.60 : x
  2. Step 2: Convert to fraction form
    525,378.56/787,924.27 = 188,356.60/x
  3. Step 3: Cross multiply
    525,378.56x = 787,924.27 × 188,356.60
  4. Step 4: Simplify right side
    525,378.56x = 148,410,734,113.98
  5. Step 5: Solve for x
    x = 148,410,734,113.98/525,378.56
  6. Step 6: Final answer
    x = 282,483.42

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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.