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Finding the Fourth Proportional to 519,274.40, 778,911.60 and 341,981.60

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Solution

The fourth proportional to 519,274.40, 778,911.60 and 341,981.60 is: 512,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,274.40 : 778,911.60 = 341,981.60 : x
  2. Step 2: Convert to fraction form
    519,274.40/778,911.60 = 341,981.60/x
  3. Step 3: Cross multiply
    519,274.40x = 778,911.60 × 341,981.60
  4. Step 4: Simplify right side
    519,274.40x = 266,373,435,226.56
  5. Step 5: Solve for x
    x = 266,373,435,226.56/519,274.40
  6. Step 6: Final answer
    x = 512,972.40

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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.