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Finding the Fourth Proportional to 605,461, 835,562.10 and 337,189

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Solution

The fourth proportional to 605,461, 835,562.10 and 337,189 is: 465,335.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,461 : 835,562.10 = 337,189 : x
  2. Step 2: Convert to fraction form
    605,461/835,562.10 = 337,189/x
  3. Step 3: Cross multiply
    605,461x = 835,562.10 × 337,189
  4. Step 4: Simplify right side
    605,461x = 281,742,348,936.90
  5. Step 5: Solve for x
    x = 281,742,348,936.90/605,461
  6. Step 6: Final answer
    x = 465,335.26

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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.