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Finding the Fourth Proportional to 654,037.48, 902,818.38 and 382,193.80

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Solution

The fourth proportional to 654,037.48, 902,818.38 and 382,193.80 is: 527,571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,037.48 : 902,818.38 = 382,193.80 : x
  2. Step 2: Convert to fraction form
    654,037.48/902,818.38 = 382,193.80/x
  3. Step 3: Cross multiply
    654,037.48x = 902,818.38 × 382,193.80
  4. Step 4: Simplify right side
    654,037.48x = 345,051,587,362.04
  5. Step 5: Solve for x
    x = 345,051,587,362.04/654,037.48
  6. Step 6: Final answer
    x = 527,571.58

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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.