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Finding the Fourth Proportional to 513,246.20, 770,000.64 and 213,627.20

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Solution

The fourth proportional to 513,246.20, 770,000.64 and 213,627.20 is: 320,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,246.20 : 770,000.64 = 213,627.20 : x
  2. Step 2: Convert to fraction form
    513,246.20/770,000.64 = 213,627.20/x
  3. Step 3: Cross multiply
    513,246.20x = 770,000.64 × 213,627.20
  4. Step 4: Simplify right side
    513,246.20x = 164,493,080,721.41
  5. Step 5: Solve for x
    x = 164,493,080,721.41/513,246.20
  6. Step 6: Final answer
    x = 320,495.47

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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.