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Finding the Fourth Proportional to 567,206.74, 782,735.26 and 309,085.96

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Solution

The fourth proportional to 567,206.74, 782,735.26 and 309,085.96 is: 426,533.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,206.74 : 782,735.26 = 309,085.96 : x
  2. Step 2: Convert to fraction form
    567,206.74/782,735.26 = 309,085.96/x
  3. Step 3: Cross multiply
    567,206.74x = 782,735.26 × 309,085.96
  4. Step 4: Simplify right side
    567,206.74x = 241,932,479,262.95
  5. Step 5: Solve for x
    x = 241,932,479,262.95/567,206.74
  6. Step 6: Final answer
    x = 426,533.15

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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.