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Finding the Fourth Proportional to 410,827.80, 616,241.70 and 284,856.60

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Solution

The fourth proportional to 410,827.80, 616,241.70 and 284,856.60 is: 427,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,827.80 : 616,241.70 = 284,856.60 : x
  2. Step 2: Convert to fraction form
    410,827.80/616,241.70 = 284,856.60/x
  3. Step 3: Cross multiply
    410,827.80x = 616,241.70 × 284,856.60
  4. Step 4: Simplify right side
    410,827.80x = 175,540,515,440.22
  5. Step 5: Solve for x
    x = 175,540,515,440.22/410,827.80
  6. Step 6: Final answer
    x = 427,284.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.