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Finding the Fourth Proportional to 517,880.41, 714,481.42 and 517,081.95

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Solution

The fourth proportional to 517,880.41, 714,481.42 and 517,081.95 is: 713,379.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,880.41 : 714,481.42 = 517,081.95 : x
  2. Step 2: Convert to fraction form
    517,880.41/714,481.42 = 517,081.95/x
  3. Step 3: Cross multiply
    517,880.41x = 714,481.42 × 517,081.95
  4. Step 4: Simplify right side
    517,880.41x = 369,445,445,892.37
  5. Step 5: Solve for x
    x = 369,445,445,892.37/517,880.41
  6. Step 6: Final answer
    x = 713,379.84

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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.