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Finding the Fourth Proportional to 409,644.60, 614,466.90 and 173,254.20

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Solution

The fourth proportional to 409,644.60, 614,466.90 and 173,254.20 is: 259,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,644.60 : 614,466.90 = 173,254.20 : x
  2. Step 2: Convert to fraction form
    409,644.60/614,466.90 = 173,254.20/x
  3. Step 3: Cross multiply
    409,644.60x = 614,466.90 × 173,254.20
  4. Step 4: Simplify right side
    409,644.60x = 106,458,971,185.98
  5. Step 5: Solve for x
    x = 106,458,971,185.98/409,644.60
  6. Step 6: Final answer
    x = 259,881.30

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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.