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Finding the Fourth Proportional to 469,188.18, 647,462.27 and 254,323.64

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Solution

The fourth proportional to 469,188.18, 647,462.27 and 254,323.64 is: 350,957.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,188.18 : 647,462.27 = 254,323.64 : x
  2. Step 2: Convert to fraction form
    469,188.18/647,462.27 = 254,323.64/x
  3. Step 3: Cross multiply
    469,188.18x = 647,462.27 × 254,323.64
  4. Step 4: Simplify right side
    469,188.18x = 164,664,961,269.06
  5. Step 5: Solve for x
    x = 164,664,961,269.06/469,188.18
  6. Step 6: Final answer
    x = 350,957.18

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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.