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Finding the Fourth Proportional to 517,429.41, 776,272.25 and 247,762.74

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Solution

The fourth proportional to 517,429.41, 776,272.25 and 247,762.74 is: 371,705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,429.41 : 776,272.25 = 247,762.74 : x
  2. Step 2: Convert to fraction form
    517,429.41/776,272.25 = 247,762.74/x
  3. Step 3: Cross multiply
    517,429.41x = 776,272.25 × 247,762.74
  4. Step 4: Simplify right side
    517,429.41x = 192,331,339,645.97
  5. Step 5: Solve for x
    x = 192,331,339,645.97/517,429.41
  6. Step 6: Final answer
    x = 371,705.47

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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.