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Finding the Fourth Proportional to 533,114.69, 799,812.23 and 191,592.59

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Solution

The fourth proportional to 533,114.69, 799,812.23 and 191,592.59 is: 287,439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,114.69 : 799,812.23 = 191,592.59 : x
  2. Step 2: Convert to fraction form
    533,114.69/799,812.23 = 191,592.59/x
  3. Step 3: Cross multiply
    533,114.69x = 799,812.23 × 191,592.59
  4. Step 4: Simplify right side
    533,114.69x = 153,238,091,702.35
  5. Step 5: Solve for x
    x = 153,238,091,702.35/533,114.69
  6. Step 6: Final answer
    x = 287,439.26

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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.