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Finding the Fourth Proportional to 397,978.80, 596,968.20 and 272,007.60

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Solution

The fourth proportional to 397,978.80, 596,968.20 and 272,007.60 is: 408,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,978.80 : 596,968.20 = 272,007.60 : x
  2. Step 2: Convert to fraction form
    397,978.80/596,968.20 = 272,007.60/x
  3. Step 3: Cross multiply
    397,978.80x = 596,968.20 × 272,007.60
  4. Step 4: Simplify right side
    397,978.80x = 162,379,887,358.32
  5. Step 5: Solve for x
    x = 162,379,887,358.32/397,978.80
  6. Step 6: Final answer
    x = 408,011.40

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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.