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Finding the Fourth Proportional to 341,409.60, 512,114.40 and 229,435.20

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Solution

The fourth proportional to 341,409.60, 512,114.40 and 229,435.20 is: 344,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,409.60 : 512,114.40 = 229,435.20 : x
  2. Step 2: Convert to fraction form
    341,409.60/512,114.40 = 229,435.20/x
  3. Step 3: Cross multiply
    341,409.60x = 512,114.40 × 229,435.20
  4. Step 4: Simplify right side
    341,409.60x = 117,497,069,786.88
  5. Step 5: Solve for x
    x = 117,497,069,786.88/341,409.60
  6. Step 6: Final answer
    x = 344,152.80

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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.