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Finding the Fourth Proportional to 614,213.64, 920,883.96 and 234,814.50

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Solution

The fourth proportional to 614,213.64, 920,883.96 and 234,814.50 is: 352,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,213.64 : 920,883.96 = 234,814.50 : x
  2. Step 2: Convert to fraction form
    614,213.64/920,883.96 = 234,814.50/x
  3. Step 3: Cross multiply
    614,213.64x = 920,883.96 × 234,814.50
  4. Step 4: Simplify right side
    614,213.64x = 216,236,906,625.42
  5. Step 5: Solve for x
    x = 216,236,906,625.42/614,213.64
  6. Step 6: Final answer
    x = 352,054.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.