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Finding the Fourth Proportional to 455,608.84, 683,467.98 and 189,549.40

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Solution

The fourth proportional to 455,608.84, 683,467.98 and 189,549.40 is: 284,346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,608.84 : 683,467.98 = 189,549.40 : x
  2. Step 2: Convert to fraction form
    455,608.84/683,467.98 = 189,549.40/x
  3. Step 3: Cross multiply
    455,608.84x = 683,467.98 × 189,549.40
  4. Step 4: Simplify right side
    455,608.84x = 129,550,945,528.21
  5. Step 5: Solve for x
    x = 129,550,945,528.21/455,608.84
  6. Step 6: Final answer
    x = 284,346.87

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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.