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Finding the Fourth Proportional to 397,539.20, 596,308.80 and 102,051.20

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Solution

The fourth proportional to 397,539.20, 596,308.80 and 102,051.20 is: 153,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,539.20 : 596,308.80 = 102,051.20 : x
  2. Step 2: Convert to fraction form
    397,539.20/596,308.80 = 102,051.20/x
  3. Step 3: Cross multiply
    397,539.20x = 596,308.80 × 102,051.20
  4. Step 4: Simplify right side
    397,539.20x = 60,854,028,610.56
  5. Step 5: Solve for x
    x = 60,854,028,610.56/397,539.20
  6. Step 6: Final answer
    x = 153,076.80

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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.