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Finding the Fourth Proportional to 469,924.25, 648,496.12 and 255,064.36

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Solution

The fourth proportional to 469,924.25, 648,496.12 and 255,064.36 is: 351,989.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,924.25 : 648,496.12 = 255,064.36 : x
  2. Step 2: Convert to fraction form
    469,924.25/648,496.12 = 255,064.36/x
  3. Step 3: Cross multiply
    469,924.25x = 648,496.12 × 255,064.36
  4. Step 4: Simplify right side
    469,924.25x = 165,408,244,913.72
  5. Step 5: Solve for x
    x = 165,408,244,913.72/469,924.25
  6. Step 6: Final answer
    x = 351,989.17

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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.