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Finding the Fourth Proportional to 376,770.34, 519,934.71 and 204,683.86

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Solution

The fourth proportional to 376,770.34, 519,934.71 and 204,683.86 is: 282,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,770.34 : 519,934.71 = 204,683.86 : x
  2. Step 2: Convert to fraction form
    376,770.34/519,934.71 = 204,683.86/x
  3. Step 3: Cross multiply
    376,770.34x = 519,934.71 × 204,683.86
  4. Step 4: Simplify right side
    376,770.34x = 106,422,243,390.78
  5. Step 5: Solve for x
    x = 106,422,243,390.78/376,770.34
  6. Step 6: Final answer
    x = 282,459.19

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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.