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Finding the Fourth Proportional to 643,208.80, 964,859.64 and 169,888

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Solution

The fourth proportional to 643,208.80, 964,859.64 and 169,888 is: 254,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,208.80 : 964,859.64 = 169,888 : x
  2. Step 2: Convert to fraction form
    643,208.80/964,859.64 = 169,888/x
  3. Step 3: Cross multiply
    643,208.80x = 964,859.64 × 169,888
  4. Step 4: Simplify right side
    643,208.80x = 163,918,074,520.32
  5. Step 5: Solve for x
    x = 163,918,074,520.32/643,208.80
  6. Step 6: Final answer
    x = 254,844.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.