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Finding the Fourth Proportional to 654,196.96, 902,659.49 and 382,212.32

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Solution

The fourth proportional to 654,196.96, 902,659.49 and 382,212.32 is: 527,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,196.96 : 902,659.49 = 382,212.32 : x
  2. Step 2: Convert to fraction form
    654,196.96/902,659.49 = 382,212.32/x
  3. Step 3: Cross multiply
    654,196.96x = 902,659.49 × 382,212.32
  4. Step 4: Simplify right side
    654,196.96x = 345,007,577,842.92
  5. Step 5: Solve for x
    x = 345,007,577,842.92/654,196.96
  6. Step 6: Final answer
    x = 527,375.70

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1.5x scale

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.