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Finding the Fourth Proportional to 323,020.40, 483,947.40 and 302,025.20

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Solution

The fourth proportional to 323,020.40, 483,947.40 and 302,025.20 is: 452,492.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,020.40 : 483,947.40 = 302,025.20 : x
  2. Step 2: Convert to fraction form
    323,020.40/483,947.40 = 302,025.20/x
  3. Step 3: Cross multiply
    323,020.40x = 483,947.40 × 302,025.20
  4. Step 4: Simplify right side
    323,020.40x = 146,164,310,274.48
  5. Step 5: Solve for x
    x = 146,164,310,274.48/323,020.40
  6. Step 6: Final answer
    x = 452,492.51

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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.