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Finding the Fourth Proportional to 469,883.17, 648,439.40 and 255,023.24

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Solution

The fourth proportional to 469,883.17, 648,439.40 and 255,023.24 is: 351,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,883.17 : 648,439.40 = 255,023.24 : x
  2. Step 2: Convert to fraction form
    469,883.17/648,439.40 = 255,023.24/x
  3. Step 3: Cross multiply
    469,883.17x = 648,439.40 × 255,023.24
  4. Step 4: Simplify right side
    469,883.17x = 165,367,114,127.02
  5. Step 5: Solve for x
    x = 165,367,114,127.02/469,883.17
  6. Step 6: Final answer
    x = 351,932.41

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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.