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Finding the Fourth Proportional to 374,696.81, 517,081.61 and 204,930.94

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Solution

The fourth proportional to 374,696.81, 517,081.61 and 204,930.94 is: 282,804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,696.81 : 517,081.61 = 204,930.94 : x
  2. Step 2: Convert to fraction form
    374,696.81/517,081.61 = 204,930.94/x
  3. Step 3: Cross multiply
    374,696.81x = 517,081.61 × 204,930.94
  4. Step 4: Simplify right side
    374,696.81x = 105,966,019,613.64
  5. Step 5: Solve for x
    x = 105,966,019,613.64/374,696.81
  6. Step 6: Final answer
    x = 282,804.70

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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.