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Finding the Fourth Proportional to 463,874.22, 695,216.72 and 403,652.43

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Solution

The fourth proportional to 463,874.22, 695,216.72 and 403,652.43 is: 604,961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,874.22 : 695,216.72 = 403,652.43 : x
  2. Step 2: Convert to fraction form
    463,874.22/695,216.72 = 403,652.43/x
  3. Step 3: Cross multiply
    463,874.22x = 695,216.72 × 403,652.43
  4. Step 4: Simplify right side
    463,874.22x = 280,625,916,386.37
  5. Step 5: Solve for x
    x = 280,625,916,386.37/463,874.22
  6. Step 6: Final answer
    x = 604,961.23

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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.