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Finding the Fourth Proportional to 341,464.20, 512,657.10 and 217,048.20

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Solution

The fourth proportional to 341,464.20, 512,657.10 and 217,048.20 is: 325,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,464.20 : 512,657.10 = 217,048.20 : x
  2. Step 2: Convert to fraction form
    341,464.20/512,657.10 = 217,048.20/x
  3. Step 3: Cross multiply
    341,464.20x = 512,657.10 × 217,048.20
  4. Step 4: Simplify right side
    341,464.20x = 111,271,300,772.22
  5. Step 5: Solve for x
    x = 111,271,300,772.22/341,464.20
  6. Step 6: Final answer
    x = 325,865.20

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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.