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Finding the Fourth Proportional to 304,563.36, 420,156.64 and 197,168.16

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Solution

The fourth proportional to 304,563.36, 420,156.64 and 197,168.16 is: 272,000.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,563.36 : 420,156.64 = 197,168.16 : x
  2. Step 2: Convert to fraction form
    304,563.36/420,156.64 = 197,168.16/x
  3. Step 3: Cross multiply
    304,563.36x = 420,156.64 × 197,168.16
  4. Step 4: Simplify right side
    304,563.36x = 82,841,511,620.58
  5. Step 5: Solve for x
    x = 82,841,511,620.58/304,563.36
  6. Step 6: Final answer
    x = 272,000.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.