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Finding the Fourth Proportional to 343,016.51, 514,579.31 and 106,310.21

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Solution

The fourth proportional to 343,016.51, 514,579.31 and 106,310.21 is: 159,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,016.51 : 514,579.31 = 106,310.21 : x
  2. Step 2: Convert to fraction form
    343,016.51/514,579.31 = 106,310.21/x
  3. Step 3: Cross multiply
    343,016.51x = 514,579.31 × 106,310.21
  4. Step 4: Simplify right side
    343,016.51x = 54,705,033,976.20
  5. Step 5: Solve for x
    x = 54,705,033,976.20/343,016.51
  6. Step 6: Final answer
    x = 159,482.22

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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.