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Finding the Fourth Proportional to 392,323.52, 589,075.74 and 224,033.84

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Solution

The fourth proportional to 392,323.52, 589,075.74 and 224,033.84 is: 336,387.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,323.52 : 589,075.74 = 224,033.84 : x
  2. Step 2: Convert to fraction form
    392,323.52/589,075.74 = 224,033.84/x
  3. Step 3: Cross multiply
    392,323.52x = 589,075.74 × 224,033.84
  4. Step 4: Simplify right side
    392,323.52x = 131,972,900,083.04
  5. Step 5: Solve for x
    x = 131,972,900,083.04/392,323.52
  6. Step 6: Final answer
    x = 336,387.94

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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.