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Finding the Fourth Proportional to 374,214.42, 516,391.74 and 204,448.41

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Solution

The fourth proportional to 374,214.42, 516,391.74 and 204,448.41 is: 282,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,214.42 : 516,391.74 = 204,448.41 : x
  2. Step 2: Convert to fraction form
    374,214.42/516,391.74 = 204,448.41/x
  3. Step 3: Cross multiply
    374,214.42x = 516,391.74 × 204,448.41
  4. Step 4: Simplify right side
    374,214.42x = 105,575,470,180.13
  5. Step 5: Solve for x
    x = 105,575,470,180.13/374,214.42
  6. Step 6: Final answer
    x = 282,125.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.