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Finding the Fourth Proportional to 777,853, 1,166,779.50 and 252,541

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Solution

The fourth proportional to 777,853, 1,166,779.50 and 252,541 is: 378,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,853 : 1,166,779.50 = 252,541 : x
  2. Step 2: Convert to fraction form
    777,853/1,166,779.50 = 252,541/x
  3. Step 3: Cross multiply
    777,853x = 1,166,779.50 × 252,541
  4. Step 4: Simplify right side
    777,853x = 294,659,661,709.50
  5. Step 5: Solve for x
    x = 294,659,661,709.50/777,853
  6. Step 6: Final answer
    x = 378,811.50

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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.