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Finding the Fourth Proportional to 402,883.41, 604,393.97 and 166,096.65

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Solution

The fourth proportional to 402,883.41, 604,393.97 and 166,096.65 is: 249,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,883.41 : 604,393.97 = 166,096.65 : x
  2. Step 2: Convert to fraction form
    402,883.41/604,393.97 = 166,096.65/x
  3. Step 3: Cross multiply
    402,883.41x = 604,393.97 × 166,096.65
  4. Step 4: Simplify right side
    402,883.41x = 100,387,812,866.72
  5. Step 5: Solve for x
    x = 100,387,812,866.72/402,883.41
  6. Step 6: Final answer
    x = 249,173.36

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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.