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Finding the Fourth Proportional to 492,124.80, 738,532.80 and 211,843.20

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Solution

The fourth proportional to 492,124.80, 738,532.80 and 211,843.20 is: 317,913.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,124.80 : 738,532.80 = 211,843.20 : x
  2. Step 2: Convert to fraction form
    492,124.80/738,532.80 = 211,843.20/x
  3. Step 3: Cross multiply
    492,124.80x = 738,532.80 × 211,843.20
  4. Step 4: Simplify right side
    492,124.80x = 156,453,151,656.96
  5. Step 5: Solve for x
    x = 156,453,151,656.96/492,124.80
  6. Step 6: Final answer
    x = 317,913.57

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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.