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Finding the Fourth Proportional to 455,595.84, 683,448.44 and 189,536.36

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Solution

The fourth proportional to 455,595.84, 683,448.44 and 189,536.36 is: 284,327.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,595.84 : 683,448.44 = 189,536.36 : x
  2. Step 2: Convert to fraction form
    455,595.84/683,448.44 = 189,536.36/x
  3. Step 3: Cross multiply
    455,595.84x = 683,448.44 × 189,536.36
  4. Step 4: Simplify right side
    455,595.84x = 129,538,325,200.35
  5. Step 5: Solve for x
    x = 129,538,325,200.35/455,595.84
  6. Step 6: Final answer
    x = 284,327.28

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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.