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Finding the Fourth Proportional to 643,838.40, 888,508.16 and 353,476.98

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Solution

The fourth proportional to 643,838.40, 888,508.16 and 353,476.98 is: 487,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,838.40 : 888,508.16 = 353,476.98 : x
  2. Step 2: Convert to fraction form
    643,838.40/888,508.16 = 353,476.98/x
  3. Step 3: Cross multiply
    643,838.40x = 888,508.16 × 353,476.98
  4. Step 4: Simplify right side
    643,838.40x = 314,067,181,102.16
  5. Step 5: Solve for x
    x = 314,067,181,102.16/643,838.40
  6. Step 6: Final answer
    x = 487,804.36

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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.