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Finding the Fourth Proportional to 491,176.64, 677,824.80 and 289,985.60

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Solution

The fourth proportional to 491,176.64, 677,824.80 and 289,985.60 is: 400,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,176.64 : 677,824.80 = 289,985.60 : x
  2. Step 2: Convert to fraction form
    491,176.64/677,824.80 = 289,985.60/x
  3. Step 3: Cross multiply
    491,176.64x = 677,824.80 × 289,985.60
  4. Step 4: Simplify right side
    491,176.64x = 196,559,431,322.88
  5. Step 5: Solve for x
    x = 196,559,431,322.88/491,176.64
  6. Step 6: Final answer
    x = 400,180.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.