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Finding the Fourth Proportional to 321,964.60, 482,946.90 and 202,214.20

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Solution

The fourth proportional to 321,964.60, 482,946.90 and 202,214.20 is: 303,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,964.60 : 482,946.90 = 202,214.20 : x
  2. Step 2: Convert to fraction form
    321,964.60/482,946.90 = 202,214.20/x
  3. Step 3: Cross multiply
    321,964.60x = 482,946.90 × 202,214.20
  4. Step 4: Simplify right side
    321,964.60x = 97,658,721,025.98
  5. Step 5: Solve for x
    x = 97,658,721,025.98/321,964.60
  6. Step 6: Final answer
    x = 303,321.30

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1.5x scale

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.