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Finding the Fourth Proportional to 469,843.16, 648,388.30 and 254,985.08

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Solution

The fourth proportional to 469,843.16, 648,388.30 and 254,985.08 is: 351,881.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,843.16 : 648,388.30 = 254,985.08 : x
  2. Step 2: Convert to fraction form
    469,843.16/648,388.30 = 254,985.08/x
  3. Step 3: Cross multiply
    469,843.16x = 648,388.30 × 254,985.08
  4. Step 4: Simplify right side
    469,843.16x = 165,329,342,546.56
  5. Step 5: Solve for x
    x = 165,329,342,546.56/469,843.16
  6. Step 6: Final answer
    x = 351,881.98

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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.