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Finding the Fourth Proportional to 369,344.64, 509,664.98 and 208,239.29

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Solution

The fourth proportional to 369,344.64, 509,664.98 and 208,239.29 is: 287,352.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,344.64 : 509,664.98 = 208,239.29 : x
  2. Step 2: Convert to fraction form
    369,344.64/509,664.98 = 208,239.29/x
  3. Step 3: Cross multiply
    369,344.64x = 509,664.98 × 208,239.29
  4. Step 4: Simplify right side
    369,344.64x = 106,132,269,983.54
  5. Step 5: Solve for x
    x = 106,132,269,983.54/369,344.64
  6. Step 6: Final answer
    x = 287,352.94

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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.