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Finding the Fourth Proportional to 519,834.80, 780,097.80 and 295,194.80

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Solution

The fourth proportional to 519,834.80, 780,097.80 and 295,194.80 is: 442,988.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,834.80 : 780,097.80 = 295,194.80 : x
  2. Step 2: Convert to fraction form
    519,834.80/780,097.80 = 295,194.80/x
  3. Step 3: Cross multiply
    519,834.80x = 780,097.80 × 295,194.80
  4. Step 4: Simplify right side
    519,834.80x = 230,280,814,051.44
  5. Step 5: Solve for x
    x = 230,280,814,051.44/519,834.80
  6. Step 6: Final answer
    x = 442,988.45

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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.