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Finding the Fourth Proportional to 447,678.96, 617,608.44 and 296,513.52

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Solution

The fourth proportional to 447,678.96, 617,608.44 and 296,513.52 is: 409,063.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,678.96 : 617,608.44 = 296,513.52 : x
  2. Step 2: Convert to fraction form
    447,678.96/617,608.44 = 296,513.52/x
  3. Step 3: Cross multiply
    447,678.96x = 617,608.44 × 296,513.52
  4. Step 4: Simplify right side
    447,678.96x = 183,129,252,526.11
  5. Step 5: Solve for x
    x = 183,129,252,526.11/447,678.96
  6. Step 6: Final answer
    x = 409,063.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.