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Finding the Fourth Proportional to 430,181.80, 645,186.30 and 205,541.80

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Solution

The fourth proportional to 430,181.80, 645,186.30 and 205,541.80 is: 308,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,181.80 : 645,186.30 = 205,541.80 : x
  2. Step 2: Convert to fraction form
    430,181.80/645,186.30 = 205,541.80/x
  3. Step 3: Cross multiply
    430,181.80x = 645,186.30 × 205,541.80
  4. Step 4: Simplify right side
    430,181.80x = 132,612,753,437.34
  5. Step 5: Solve for x
    x = 132,612,753,437.34/430,181.80
  6. Step 6: Final answer
    x = 308,271.42

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Why These Related Problems?

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