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Finding the Fourth Proportional to 367,194.87, 506,779.34 and 206,059.41

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Solution

The fourth proportional to 367,194.87, 506,779.34 and 206,059.41 is: 284,390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,194.87 : 506,779.34 = 206,059.41 : x
  2. Step 2: Convert to fraction form
    367,194.87/506,779.34 = 206,059.41/x
  3. Step 3: Cross multiply
    367,194.87x = 506,779.34 × 206,059.41
  4. Step 4: Simplify right side
    367,194.87x = 104,426,650,770.29
  5. Step 5: Solve for x
    x = 104,426,650,770.29/367,194.87
  6. Step 6: Final answer
    x = 284,390.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.