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Finding the Fourth Proportional to 455,597.84, 683,451.44 and 189,538.36

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Solution

The fourth proportional to 455,597.84, 683,451.44 and 189,538.36 is: 284,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,597.84 : 683,451.44 = 189,538.36 : x
  2. Step 2: Convert to fraction form
    455,597.84/683,451.44 = 189,538.36/x
  3. Step 3: Cross multiply
    455,597.84x = 683,451.44 × 189,538.36
  4. Step 4: Simplify right side
    455,597.84x = 129,540,265,077.24
  5. Step 5: Solve for x
    x = 129,540,265,077.24/455,597.84
  6. Step 6: Final answer
    x = 284,330.29

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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.