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Finding the Fourth Proportional to 432,466.20, 648,116.10 and 289,906.20

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Solution

The fourth proportional to 432,466.20, 648,116.10 and 289,906.20 is: 434,468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,466.20 : 648,116.10 = 289,906.20 : x
  2. Step 2: Convert to fraction form
    432,466.20/648,116.10 = 289,906.20/x
  3. Step 3: Cross multiply
    432,466.20x = 648,116.10 × 289,906.20
  4. Step 4: Simplify right side
    432,466.20x = 187,892,875,709.82
  5. Step 5: Solve for x
    x = 187,892,875,709.82/432,466.20
  6. Step 6: Final answer
    x = 434,468.35

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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.