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Finding the Fourth Proportional to 341,438.40, 512,157.60 and 307,612.80

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Solution

The fourth proportional to 341,438.40, 512,157.60 and 307,612.80 is: 461,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,438.40 : 512,157.60 = 307,612.80 : x
  2. Step 2: Convert to fraction form
    341,438.40/512,157.60 = 307,612.80/x
  3. Step 3: Cross multiply
    341,438.40x = 512,157.60 × 307,612.80
  4. Step 4: Simplify right side
    341,438.40x = 157,546,233,377.28
  5. Step 5: Solve for x
    x = 157,546,233,377.28/341,438.40
  6. Step 6: Final answer
    x = 461,419.20

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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.