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Finding the Fourth Proportional to 410,829.80, 616,244.70 and 284,858.60

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Solution

The fourth proportional to 410,829.80, 616,244.70 and 284,858.60 is: 427,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,829.80 : 616,244.70 = 284,858.60 : x
  2. Step 2: Convert to fraction form
    410,829.80/616,244.70 = 284,858.60/x
  3. Step 3: Cross multiply
    410,829.80x = 616,244.70 × 284,858.60
  4. Step 4: Simplify right side
    410,829.80x = 175,542,602,499.42
  5. Step 5: Solve for x
    x = 175,542,602,499.42/410,829.80
  6. Step 6: Final answer
    x = 427,287.90

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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.