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Finding the Fourth Proportional to 374,515.26, 516,830.96 and 204,749.38

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Solution

The fourth proportional to 374,515.26, 516,830.96 and 204,749.38 is: 282,554.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,515.26 : 516,830.96 = 204,749.38 : x
  2. Step 2: Convert to fraction form
    374,515.26/516,830.96 = 204,749.38/x
  3. Step 3: Cross multiply
    374,515.26x = 516,830.96 × 204,749.38
  4. Step 4: Simplify right side
    374,515.26x = 105,820,818,624.81
  5. Step 5: Solve for x
    x = 105,820,818,624.81/374,515.26
  6. Step 6: Final answer
    x = 282,554.09

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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.