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Finding the Fourth Proportional to 492,958.82, 680,289.76 and 278,098.22

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Solution

The fourth proportional to 492,958.82, 680,289.76 and 278,098.22 is: 383,779.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,958.82 : 680,289.76 = 278,098.22 : x
  2. Step 2: Convert to fraction form
    492,958.82/680,289.76 = 278,098.22/x
  3. Step 3: Cross multiply
    492,958.82x = 680,289.76 × 278,098.22
  4. Step 4: Simplify right side
    492,958.82x = 189,187,371,340.23
  5. Step 5: Solve for x
    x = 189,187,371,340.23/492,958.82
  6. Step 6: Final answer
    x = 383,779.26

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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.