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Finding the Fourth Proportional to 384,881.94, 574,504.50 and 339,431.70

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Solution

The fourth proportional to 384,881.94, 574,504.50 and 339,431.70 is: 506,661.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,881.94 : 574,504.50 = 339,431.70 : x
  2. Step 2: Convert to fraction form
    384,881.94/574,504.50 = 339,431.70/x
  3. Step 3: Cross multiply
    384,881.94x = 574,504.50 × 339,431.70
  4. Step 4: Simplify right side
    384,881.94x = 195,005,039,092.65
  5. Step 5: Solve for x
    x = 195,005,039,092.65/384,881.94
  6. Step 6: Final answer
    x = 506,661.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.