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Finding the Fourth Proportional to 454,253.94, 681,460.83 and 187,865.19

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Solution

The fourth proportional to 454,253.94, 681,460.83 and 187,865.19 is: 281,830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,253.94 : 681,460.83 = 187,865.19 : x
  2. Step 2: Convert to fraction form
    454,253.94/681,460.83 = 187,865.19/x
  3. Step 3: Cross multiply
    454,253.94x = 681,460.83 × 187,865.19
  4. Step 4: Simplify right side
    454,253.94x = 128,022,768,305.51
  5. Step 5: Solve for x
    x = 128,022,768,305.51/454,253.94
  6. Step 6: Final answer
    x = 281,830.84

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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.