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Finding the Fourth Proportional to 469,187.18, 647,460.89 and 254,322.64

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Solution

The fourth proportional to 469,187.18, 647,460.89 and 254,322.64 is: 350,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,187.18 : 647,460.89 = 254,322.64 : x
  2. Step 2: Convert to fraction form
    469,187.18/647,460.89 = 254,322.64/x
  3. Step 3: Cross multiply
    469,187.18x = 647,460.89 × 254,322.64
  4. Step 4: Simplify right side
    469,187.18x = 164,663,961,121.57
  5. Step 5: Solve for x
    x = 164,663,961,121.57/469,187.18
  6. Step 6: Final answer
    x = 350,955.79

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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.