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Finding the Fourth Proportional to 469,417.31, 647,796.05 and 254,557.32

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Solution

The fourth proportional to 469,417.31, 647,796.05 and 254,557.32 is: 351,289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,417.31 : 647,796.05 = 254,557.32 : x
  2. Step 2: Convert to fraction form
    469,417.31/647,796.05 = 254,557.32/x
  3. Step 3: Cross multiply
    469,417.31x = 647,796.05 × 254,557.32
  4. Step 4: Simplify right side
    469,417.31x = 164,901,226,394.59
  5. Step 5: Solve for x
    x = 164,901,226,394.59/469,417.31
  6. Step 6: Final answer
    x = 351,289.19

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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.