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Finding the Fourth Proportional to 454,584, 681,903.34 and 139,043.64

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Solution

The fourth proportional to 454,584, 681,903.34 and 139,043.64 is: 208,573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,584 : 681,903.34 = 139,043.64 : x
  2. Step 2: Convert to fraction form
    454,584/681,903.34 = 139,043.64/x
  3. Step 3: Cross multiply
    454,584x = 681,903.34 × 139,043.64
  4. Step 4: Simplify right side
    454,584x = 94,814,322,174.15
  5. Step 5: Solve for x
    x = 94,814,322,174.15/454,584
  6. Step 6: Final answer
    x = 208,573.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.