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Finding the Fourth Proportional to 496,196.40, 744,294.60 and 163,729.20

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Solution

The fourth proportional to 496,196.40, 744,294.60 and 163,729.20 is: 245,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,196.40 : 744,294.60 = 163,729.20 : x
  2. Step 2: Convert to fraction form
    496,196.40/744,294.60 = 163,729.20/x
  3. Step 3: Cross multiply
    496,196.40x = 744,294.60 × 163,729.20
  4. Step 4: Simplify right side
    496,196.40x = 121,862,759,422.32
  5. Step 5: Solve for x
    x = 121,862,759,422.32/496,196.40
  6. Step 6: Final answer
    x = 245,593.80

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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.