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Finding the Fourth Proportional to 369,490.37, 509,853.38 and 208,335.81

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Solution

The fourth proportional to 369,490.37, 509,853.38 and 208,335.81 is: 287,478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,490.37 : 509,853.38 = 208,335.81 : x
  2. Step 2: Convert to fraction form
    369,490.37/509,853.38 = 208,335.81/x
  3. Step 3: Cross multiply
    369,490.37x = 509,853.38 × 208,335.81
  4. Step 4: Simplify right side
    369,490.37x = 106,220,715,861.86
  5. Step 5: Solve for x
    x = 106,220,715,861.86/369,490.37
  6. Step 6: Final answer
    x = 287,478.99

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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.