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Finding the Fourth Proportional to 656,270.25, 984,409.47 and 182,959.71

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Solution

The fourth proportional to 656,270.25, 984,409.47 and 182,959.71 is: 274,440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,270.25 : 984,409.47 = 182,959.71 : x
  2. Step 2: Convert to fraction form
    656,270.25/984,409.47 = 182,959.71/x
  3. Step 3: Cross multiply
    656,270.25x = 984,409.47 × 182,959.71
  4. Step 4: Simplify right side
    656,270.25x = 180,107,271,152.45
  5. Step 5: Solve for x
    x = 180,107,271,152.45/656,270.25
  6. Step 6: Final answer
    x = 274,440.71

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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.