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Finding the Fourth Proportional to 469,906.12, 648,471.16 and 255,046.26

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Solution

The fourth proportional to 469,906.12, 648,471.16 and 255,046.26 is: 351,964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,906.12 : 648,471.16 = 255,046.26 : x
  2. Step 2: Convert to fraction form
    469,906.12/648,471.16 = 255,046.26/x
  3. Step 3: Cross multiply
    469,906.12x = 648,471.16 × 255,046.26
  4. Step 4: Simplify right side
    469,906.12x = 165,390,144,075.86
  5. Step 5: Solve for x
    x = 165,390,144,075.86/469,906.12
  6. Step 6: Final answer
    x = 351,964.23

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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.