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Finding the Fourth Proportional to 369,224.68, 509,538.62 and 208,084.70

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Solution

The fourth proportional to 369,224.68, 509,538.62 and 208,084.70 is: 287,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,224.68 : 509,538.62 = 208,084.70 : x
  2. Step 2: Convert to fraction form
    369,224.68/509,538.62 = 208,084.70/x
  3. Step 3: Cross multiply
    369,224.68x = 509,538.62 × 208,084.70
  4. Step 4: Simplify right side
    369,224.68x = 106,027,190,881.11
  5. Step 5: Solve for x
    x = 106,027,190,881.11/369,224.68
  6. Step 6: Final answer
    x = 287,161.71

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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.