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Finding the Fourth Proportional to 397,848.60, 595,898.10 and 327,864.60

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Solution

The fourth proportional to 397,848.60, 595,898.10 and 327,864.60 is: 491,075.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,848.60 : 595,898.10 = 327,864.60 : x
  2. Step 2: Convert to fraction form
    397,848.60/595,898.10 = 327,864.60/x
  3. Step 3: Cross multiply
    397,848.60x = 595,898.10 × 327,864.60
  4. Step 4: Simplify right side
    397,848.60x = 195,373,892,197.26
  5. Step 5: Solve for x
    x = 195,373,892,197.26/397,848.60
  6. Step 6: Final answer
    x = 491,075.98

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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.