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Finding the Fourth Proportional to 463,605.40, 695,408.10 and 164,083.60

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Solution

The fourth proportional to 463,605.40, 695,408.10 and 164,083.60 is: 246,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,605.40 : 695,408.10 = 164,083.60 : x
  2. Step 2: Convert to fraction form
    463,605.40/695,408.10 = 164,083.60/x
  3. Step 3: Cross multiply
    463,605.40x = 695,408.10 × 164,083.60
  4. Step 4: Simplify right side
    463,605.40x = 114,105,064,517.16
  5. Step 5: Solve for x
    x = 114,105,064,517.16/463,605.40
  6. Step 6: Final answer
    x = 246,125.40

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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.