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Finding the Fourth Proportional to 491,071.82, 677,686.11 and 289,867.82

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Solution

The fourth proportional to 491,071.82, 677,686.11 and 289,867.82 is: 400,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,071.82 : 677,686.11 = 289,867.82 : x
  2. Step 2: Convert to fraction form
    491,071.82/677,686.11 = 289,867.82/x
  3. Step 3: Cross multiply
    491,071.82x = 677,686.11 × 289,867.82
  4. Step 4: Simplify right side
    491,071.82x = 196,439,395,349.98
  5. Step 5: Solve for x
    x = 196,439,395,349.98/491,071.82
  6. Step 6: Final answer
    x = 400,021.72

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1.5x scale

Why These Related Problems?

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