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Finding the Fourth Proportional to 492,033.52, 737,476.80 and 225,822.16

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Solution

The fourth proportional to 492,033.52, 737,476.80 and 225,822.16 is: 338,470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,033.52 : 737,476.80 = 225,822.16 : x
  2. Step 2: Convert to fraction form
    492,033.52/737,476.80 = 225,822.16/x
  3. Step 3: Cross multiply
    492,033.52x = 737,476.80 × 225,822.16
  4. Step 4: Simplify right side
    492,033.52x = 166,538,603,925.89
  5. Step 5: Solve for x
    x = 166,538,603,925.89/492,033.52
  6. Step 6: Final answer
    x = 338,470.04

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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.