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Finding the Fourth Proportional to 469,825.16, 648,359.16 and 254,965.24

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Solution

The fourth proportional to 469,825.16, 648,359.16 and 254,965.24 is: 351,852.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,825.16 : 648,359.16 = 254,965.24 : x
  2. Step 2: Convert to fraction form
    469,825.16/648,359.16 = 254,965.24/x
  3. Step 3: Cross multiply
    469,825.16x = 648,359.16 × 254,965.24
  4. Step 4: Simplify right side
    469,825.16x = 165,309,048,835.60
  5. Step 5: Solve for x
    x = 165,309,048,835.60/469,825.16
  6. Step 6: Final answer
    x = 351,852.27

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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.