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Finding the Fourth Proportional to 643,967.40, 965,907.90 and 170,642.60

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Solution

The fourth proportional to 643,967.40, 965,907.90 and 170,642.60 is: 255,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,967.40 : 965,907.90 = 170,642.60 : x
  2. Step 2: Convert to fraction form
    643,967.40/965,907.90 = 170,642.60/x
  3. Step 3: Cross multiply
    643,967.40x = 965,907.90 × 170,642.60
  4. Step 4: Simplify right side
    643,967.40x = 164,825,035,416.54
  5. Step 5: Solve for x
    x = 164,825,035,416.54/643,967.40
  6. Step 6: Final answer
    x = 255,952.45

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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.