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Finding the Fourth Proportional to 519,872.44, 778,034.44 and 435,727.60

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Solution

The fourth proportional to 519,872.44, 778,034.44 and 435,727.60 is: 652,104.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,872.44 : 778,034.44 = 435,727.60 : x
  2. Step 2: Convert to fraction form
    519,872.44/778,034.44 = 435,727.60/x
  3. Step 3: Cross multiply
    519,872.44x = 778,034.44 × 435,727.60
  4. Step 4: Simplify right side
    519,872.44x = 339,011,079,258.54
  5. Step 5: Solve for x
    x = 339,011,079,258.54/519,872.44
  6. Step 6: Final answer
    x = 652,104.35

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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.