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Finding the Fourth Proportional to 682,706, 1,024,156.20 and 362,774.36

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Solution

The fourth proportional to 682,706, 1,024,156.20 and 362,774.36 is: 544,213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,706 : 1,024,156.20 = 362,774.36 : x
  2. Step 2: Convert to fraction form
    682,706/1,024,156.20 = 362,774.36/x
  3. Step 3: Cross multiply
    682,706x = 1,024,156.20 × 362,774.36
  4. Step 4: Simplify right side
    682,706x = 371,537,609,995.03
  5. Step 5: Solve for x
    x = 371,537,609,995.03/682,706
  6. Step 6: Final answer
    x = 544,213.19

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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.