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Finding the Fourth Proportional to 384,323.40, 576,485.10 and 362,550.60

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Solution

The fourth proportional to 384,323.40, 576,485.10 and 362,550.60 is: 543,825.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,323.40 : 576,485.10 = 362,550.60 : x
  2. Step 2: Convert to fraction form
    384,323.40/576,485.10 = 362,550.60/x
  3. Step 3: Cross multiply
    384,323.40x = 576,485.10 × 362,550.60
  4. Step 4: Simplify right side
    384,323.40x = 209,005,018,896.06
  5. Step 5: Solve for x
    x = 209,005,018,896.06/384,323.40
  6. Step 6: Final answer
    x = 543,825.90

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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.