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Finding the Fourth Proportional to 409,832.60, 614,748.90 and 357,344.60

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Solution

The fourth proportional to 409,832.60, 614,748.90 and 357,344.60 is: 536,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,832.60 : 614,748.90 = 357,344.60 : x
  2. Step 2: Convert to fraction form
    409,832.60/614,748.90 = 357,344.60/x
  3. Step 3: Cross multiply
    409,832.60x = 614,748.90 × 357,344.60
  4. Step 4: Simplify right side
    409,832.60x = 219,677,199,770.94
  5. Step 5: Solve for x
    x = 219,677,199,770.94/409,832.60
  6. Step 6: Final answer
    x = 536,016.90

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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.