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Finding the Fourth Proportional to 382,893.62, 574,426.08 and 116,674.97

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Solution

The fourth proportional to 382,893.62, 574,426.08 and 116,674.97 is: 175,038.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,893.62 : 574,426.08 = 116,674.97 : x
  2. Step 2: Convert to fraction form
    382,893.62/574,426.08 = 116,674.97/x
  3. Step 3: Cross multiply
    382,893.62x = 574,426.08 × 116,674.97
  4. Step 4: Simplify right side
    382,893.62x = 67,021,142,779.09
  5. Step 5: Solve for x
    x = 67,021,142,779.09/382,893.62
  6. Step 6: Final answer
    x = 175,038.55

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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.