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Finding the Fourth Proportional to 435,223.52, 600,454.49 and 284,408.00

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Solution

The fourth proportional to 435,223.52, 600,454.49 and 284,408.00 is: 392,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,223.52 : 600,454.49 = 284,408.00 : x
  2. Step 2: Convert to fraction form
    435,223.52/600,454.49 = 284,408.00/x
  3. Step 3: Cross multiply
    435,223.52x = 600,454.49 × 284,408.00
  4. Step 4: Simplify right side
    435,223.52x = 170,774,062,804.08
  5. Step 5: Solve for x
    x = 170,774,062,804.08/435,223.52
  6. Step 6: Final answer
    x = 392,382.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.