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Finding the Fourth Proportional to 397,985.80, 596,103.90 and 239,938.60

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Solution

The fourth proportional to 397,985.80, 596,103.90 and 239,938.60 is: 359,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,985.80 : 596,103.90 = 239,938.60 : x
  2. Step 2: Convert to fraction form
    397,985.80/596,103.90 = 239,938.60/x
  3. Step 3: Cross multiply
    397,985.80x = 596,103.90 × 239,938.60
  4. Step 4: Simplify right side
    397,985.80x = 143,028,335,220.54
  5. Step 5: Solve for x
    x = 143,028,335,220.54/397,985.80
  6. Step 6: Final answer
    x = 359,380.50

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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.