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Finding the Fourth Proportional to 416,293.29, 624,689.01 and 179,635.93

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Solution

The fourth proportional to 416,293.29, 624,689.01 and 179,635.93 is: 269,561.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,293.29 : 624,689.01 = 179,635.93 : x
  2. Step 2: Convert to fraction form
    416,293.29/624,689.01 = 179,635.93/x
  3. Step 3: Cross multiply
    416,293.29x = 624,689.01 × 179,635.93
  4. Step 4: Simplify right side
    416,293.29x = 112,216,589,710.41
  5. Step 5: Solve for x
    x = 112,216,589,710.41/416,293.29
  6. Step 6: Final answer
    x = 269,561.37

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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.