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Finding the Fourth Proportional to 369,224.49, 509,522.75 and 208,076.31

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Solution

The fourth proportional to 369,224.49, 509,522.75 and 208,076.31 is: 287,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,224.49 : 509,522.75 = 208,076.31 : x
  2. Step 2: Convert to fraction form
    369,224.49/509,522.75 = 208,076.31/x
  3. Step 3: Cross multiply
    369,224.49x = 509,522.75 × 208,076.31
  4. Step 4: Simplify right side
    369,224.49x = 106,019,612,640.67
  5. Step 5: Solve for x
    x = 106,019,612,640.67/369,224.49
  6. Step 6: Final answer
    x = 287,141.33

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1.5x scale

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.