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Finding the Fourth Proportional to 374,417.73, 516,696.74 and 204,651.86

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Solution

The fourth proportional to 374,417.73, 516,696.74 and 204,651.86 is: 282,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,417.73 : 516,696.74 = 204,651.86 : x
  2. Step 2: Convert to fraction form
    374,417.73/516,696.74 = 204,651.86/x
  3. Step 3: Cross multiply
    374,417.73x = 516,696.74 × 204,651.86
  4. Step 4: Simplify right side
    374,417.73x = 105,742,945,290.19
  5. Step 5: Solve for x
    x = 105,742,945,290.19/374,417.73
  6. Step 6: Final answer
    x = 282,419.71

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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.