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Finding the Fourth Proportional to 393,762.69, 543,102.45 and 296,970.60

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Solution

The fourth proportional to 393,762.69, 543,102.45 and 296,970.60 is: 409,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,762.69 : 543,102.45 = 296,970.60 : x
  2. Step 2: Convert to fraction form
    393,762.69/543,102.45 = 296,970.60/x
  3. Step 3: Cross multiply
    393,762.69x = 543,102.45 × 296,970.60
  4. Step 4: Simplify right side
    393,762.69x = 161,285,460,437.97
  5. Step 5: Solve for x
    x = 161,285,460,437.97/393,762.69
  6. Step 6: Final answer
    x = 409,600.67

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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.