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Finding the Fourth Proportional to 522,812.40, 783,181.80 and 311,823.60

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Solution

The fourth proportional to 522,812.40, 783,181.80 and 311,823.60 is: 467,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,812.40 : 783,181.80 = 311,823.60 : x
  2. Step 2: Convert to fraction form
    522,812.40/783,181.80 = 311,823.60/x
  3. Step 3: Cross multiply
    522,812.40x = 783,181.80 × 311,823.60
  4. Step 4: Simplify right side
    522,812.40x = 244,214,568,330.48
  5. Step 5: Solve for x
    x = 244,214,568,330.48/522,812.40
  6. Step 6: Final answer
    x = 467,117.02

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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.