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Finding the Fourth Proportional to 519,867, 717,416.46 and 281,403

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Solution

The fourth proportional to 519,867, 717,416.46 and 281,403 is: 388,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,867 : 717,416.46 = 281,403 : x
  2. Step 2: Convert to fraction form
    519,867/717,416.46 = 281,403/x
  3. Step 3: Cross multiply
    519,867x = 717,416.46 × 281,403
  4. Step 4: Simplify right side
    519,867x = 201,883,144,093.38
  5. Step 5: Solve for x
    x = 201,883,144,093.38/519,867
  6. Step 6: Final answer
    x = 388,336.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.