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Finding the Fourth Proportional to 409,748.80, 613,967.10 and 259,720.60

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Solution

The fourth proportional to 409,748.80, 613,967.10 and 259,720.60 is: 389,165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,748.80 : 613,967.10 = 259,720.60 : x
  2. Step 2: Convert to fraction form
    409,748.80/613,967.10 = 259,720.60/x
  3. Step 3: Cross multiply
    409,748.80x = 613,967.10 × 259,720.60
  4. Step 4: Simplify right side
    409,748.80x = 159,459,903,592.26
  5. Step 5: Solve for x
    x = 159,459,903,592.26/409,748.80
  6. Step 6: Final answer
    x = 389,165.03

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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.