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Finding the Fourth Proportional to 411,243.80, 616,865.70 and 317,816.60

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Solution

The fourth proportional to 411,243.80, 616,865.70 and 317,816.60 is: 476,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,243.80 : 616,865.70 = 317,816.60 : x
  2. Step 2: Convert to fraction form
    411,243.80/616,865.70 = 317,816.60/x
  3. Step 3: Cross multiply
    411,243.80x = 616,865.70 × 317,816.60
  4. Step 4: Simplify right side
    411,243.80x = 196,050,159,430.62
  5. Step 5: Solve for x
    x = 196,050,159,430.62/411,243.80
  6. Step 6: Final answer
    x = 476,724.90

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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.