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Finding the Fourth Proportional to 456,118.50, 684,200.43 and 323,148.90

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Solution

The fourth proportional to 456,118.50, 684,200.43 and 323,148.90 is: 484,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,118.50 : 684,200.43 = 323,148.90 : x
  2. Step 2: Convert to fraction form
    456,118.50/684,200.43 = 323,148.90/x
  3. Step 3: Cross multiply
    456,118.50x = 684,200.43 × 323,148.90
  4. Step 4: Simplify right side
    456,118.50x = 221,098,616,334.03
  5. Step 5: Solve for x
    x = 221,098,616,334.03/456,118.50
  6. Step 6: Final answer
    x = 484,739.42

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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.