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Finding the Fourth Proportional to 536,608.48, 804,701.46 and 194,971.24

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Solution

The fourth proportional to 536,608.48, 804,701.46 and 194,971.24 is: 292,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,608.48 : 804,701.46 = 194,971.24 : x
  2. Step 2: Convert to fraction form
    536,608.48/804,701.46 = 194,971.24/x
  3. Step 3: Cross multiply
    536,608.48x = 804,701.46 × 194,971.24
  4. Step 4: Simplify right side
    536,608.48x = 156,893,641,486.01
  5. Step 5: Solve for x
    x = 156,893,641,486.01/536,608.48
  6. Step 6: Final answer
    x = 292,380.10

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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.