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Finding the Fourth Proportional to 492,564.54, 738,978.39 and 177,024.18

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Solution

The fourth proportional to 492,564.54, 738,978.39 and 177,024.18 is: 265,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,564.54 : 738,978.39 = 177,024.18 : x
  2. Step 2: Convert to fraction form
    492,564.54/738,978.39 = 177,024.18/x
  3. Step 3: Cross multiply
    492,564.54x = 738,978.39 × 177,024.18
  4. Step 4: Simplify right side
    492,564.54x = 130,817,043,527.47
  5. Step 5: Solve for x
    x = 130,817,043,527.47/492,564.54
  6. Step 6: Final answer
    x = 265,583.56

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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.