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Finding the Fourth Proportional to 651,508.36, 976,181.66 and 461,024.30

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Solution

The fourth proportional to 651,508.36, 976,181.66 and 461,024.30 is: 690,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,508.36 : 976,181.66 = 461,024.30 : x
  2. Step 2: Convert to fraction form
    651,508.36/976,181.66 = 461,024.30/x
  3. Step 3: Cross multiply
    651,508.36x = 976,181.66 × 461,024.30
  4. Step 4: Simplify right side
    651,508.36x = 450,043,466,474.34
  5. Step 5: Solve for x
    x = 450,043,466,474.34/651,508.36
  6. Step 6: Final answer
    x = 690,771.59

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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.