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Finding the Fourth Proportional to 513,803.20, 770,666.40 and 214,206.40

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Solution

The fourth proportional to 513,803.20, 770,666.40 and 214,206.40 is: 321,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,803.20 : 770,666.40 = 214,206.40 : x
  2. Step 2: Convert to fraction form
    513,803.20/770,666.40 = 214,206.40/x
  3. Step 3: Cross multiply
    513,803.20x = 770,666.40 × 214,206.40
  4. Step 4: Simplify right side
    513,803.20x = 165,081,675,144.96
  5. Step 5: Solve for x
    x = 165,081,675,144.96/513,803.20
  6. Step 6: Final answer
    x = 321,293.59

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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.