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Finding the Fourth Proportional to 402,787.08, 604,179.41 and 166,123.31

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Solution

The fourth proportional to 402,787.08, 604,179.41 and 166,123.31 is: 249,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,787.08 : 604,179.41 = 166,123.31 : x
  2. Step 2: Convert to fraction form
    402,787.08/604,179.41 = 166,123.31/x
  3. Step 3: Cross multiply
    402,787.08x = 604,179.41 × 166,123.31
  4. Step 4: Simplify right side
    402,787.08x = 100,368,279,571.53
  5. Step 5: Solve for x
    x = 100,368,279,571.53/402,787.08
  6. Step 6: Final answer
    x = 249,184.46

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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.