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Finding the Fourth Proportional to 469,686, 648,168.30 and 254,827.02

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Solution

The fourth proportional to 469,686, 648,168.30 and 254,827.02 is: 351,662.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,686 : 648,168.30 = 254,827.02 : x
  2. Step 2: Convert to fraction form
    469,686/648,168.30 = 254,827.02/x
  3. Step 3: Cross multiply
    469,686x = 648,168.30 × 254,827.02
  4. Step 4: Simplify right side
    469,686x = 165,170,796,347.47
  5. Step 5: Solve for x
    x = 165,170,796,347.47/469,686
  6. Step 6: Final answer
    x = 351,662.17

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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.