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Finding the Fourth Proportional to 432,592.84, 649,027.88 and 302,896.74

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Solution

The fourth proportional to 432,592.84, 649,027.88 and 302,896.74 is: 454,442.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,592.84 : 649,027.88 = 302,896.74 : x
  2. Step 2: Convert to fraction form
    432,592.84/649,027.88 = 302,896.74/x
  3. Step 3: Cross multiply
    432,592.84x = 649,027.88 × 302,896.74
  4. Step 4: Simplify right side
    432,592.84x = 196,588,431,563.21
  5. Step 5: Solve for x
    x = 196,588,431,563.21/432,592.84
  6. Step 6: Final answer
    x = 454,442.18

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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.