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Finding the Fourth Proportional to 310,942.26, 465,665.96 and 177,417.72

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Solution

The fourth proportional to 310,942.26, 465,665.96 and 177,417.72 is: 265,700.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,942.26 : 465,665.96 = 177,417.72 : x
  2. Step 2: Convert to fraction form
    310,942.26/465,665.96 = 177,417.72/x
  3. Step 3: Cross multiply
    310,942.26x = 465,665.96 × 177,417.72
  4. Step 4: Simplify right side
    310,942.26x = 82,617,392,017.72
  5. Step 5: Solve for x
    x = 82,617,392,017.72/310,942.26
  6. Step 6: Final answer
    x = 265,700.11

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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.