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Finding the Fourth Proportional to 310,898.73, 465,382.74 and 168,390.06

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Solution

The fourth proportional to 310,898.73, 465,382.74 and 168,390.06 is: 252,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,898.73 : 465,382.74 = 168,390.06 : x
  2. Step 2: Convert to fraction form
    310,898.73/465,382.74 = 168,390.06/x
  3. Step 3: Cross multiply
    310,898.73x = 465,382.74 × 168,390.06
  4. Step 4: Simplify right side
    310,898.73x = 78,365,827,511.56
  5. Step 5: Solve for x
    x = 78,365,827,511.56/310,898.73
  6. Step 6: Final answer
    x = 252,062.23

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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.