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Finding the Fourth Proportional to 461,284.64, 691,421.44 and 180,493.28

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Solution

The fourth proportional to 461,284.64, 691,421.44 and 180,493.28 is: 270,542.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,284.64 : 691,421.44 = 180,493.28 : x
  2. Step 2: Convert to fraction form
    461,284.64/691,421.44 = 180,493.28/x
  3. Step 3: Cross multiply
    461,284.64x = 691,421.44 × 180,493.28
  4. Step 4: Simplify right side
    461,284.64x = 124,796,923,567.92
  5. Step 5: Solve for x
    x = 124,796,923,567.92/461,284.64
  6. Step 6: Final answer
    x = 270,542.12

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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.