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Finding the Fourth Proportional to 396,547.20, 593,092.80 and 354,729.60

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Solution

The fourth proportional to 396,547.20, 593,092.80 and 354,729.60 is: 530,548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,547.20 : 593,092.80 = 354,729.60 : x
  2. Step 2: Convert to fraction form
    396,547.20/593,092.80 = 354,729.60/x
  3. Step 3: Cross multiply
    396,547.20x = 593,092.80 × 354,729.60
  4. Step 4: Simplify right side
    396,547.20x = 210,387,571,706.88
  5. Step 5: Solve for x
    x = 210,387,571,706.88/396,547.20
  6. Step 6: Final answer
    x = 530,548.62

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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.