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Finding the Fourth Proportional to 402,914.80, 604,372.20 and 166,178.80

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Solution

The fourth proportional to 402,914.80, 604,372.20 and 166,178.80 is: 249,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,914.80 : 604,372.20 = 166,178.80 : x
  2. Step 2: Convert to fraction form
    402,914.80/604,372.20 = 166,178.80/x
  3. Step 3: Cross multiply
    402,914.80x = 604,372.20 × 166,178.80
  4. Step 4: Simplify right side
    402,914.80x = 100,433,846,949.36
  5. Step 5: Solve for x
    x = 100,433,846,949.36/402,914.80
  6. Step 6: Final answer
    x = 249,268.20

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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.