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Finding the Fourth Proportional to 420,638.01, 630,432.14 and 210,336.09

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Solution

The fourth proportional to 420,638.01, 630,432.14 and 210,336.09 is: 315,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,638.01 : 630,432.14 = 210,336.09 : x
  2. Step 2: Convert to fraction form
    420,638.01/630,432.14 = 210,336.09/x
  3. Step 3: Cross multiply
    420,638.01x = 630,432.14 × 210,336.09
  4. Step 4: Simplify right side
    420,638.01x = 132,602,630,286.25
  5. Step 5: Solve for x
    x = 132,602,630,286.25/420,638.01
  6. Step 6: Final answer
    x = 315,241.67

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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.