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Finding the Fourth Proportional to 369,563.82, 509,814.71 and 238,696.46

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Solution

The fourth proportional to 369,563.82, 509,814.71 and 238,696.46 is: 329,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,563.82 : 509,814.71 = 238,696.46 : x
  2. Step 2: Convert to fraction form
    369,563.82/509,814.71 = 238,696.46/x
  3. Step 3: Cross multiply
    369,563.82x = 509,814.71 × 238,696.46
  4. Step 4: Simplify right side
    369,563.82x = 121,690,966,532.93
  5. Step 5: Solve for x
    x = 121,690,966,532.93/369,563.82
  6. Step 6: Final answer
    x = 329,282.68

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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.