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Finding the Fourth Proportional to 513,427.98, 769,813.92 and 246,657.72

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Solution

The fourth proportional to 513,427.98, 769,813.92 and 246,657.72 is: 369,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,427.98 : 769,813.92 = 246,657.72 : x
  2. Step 2: Convert to fraction form
    513,427.98/769,813.92 = 246,657.72/x
  3. Step 3: Cross multiply
    513,427.98x = 769,813.92 × 246,657.72
  4. Step 4: Simplify right side
    513,427.98x = 189,880,546,331.46
  5. Step 5: Solve for x
    x = 189,880,546,331.46/513,427.98
  6. Step 6: Final answer
    x = 369,828.98

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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.