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Finding the Fourth Proportional to 343,169.31, 514,029.82 and 275,334.08

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Solution

The fourth proportional to 343,169.31, 514,029.82 and 275,334.08 is: 412,420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,169.31 : 514,029.82 = 275,334.08 : x
  2. Step 2: Convert to fraction form
    343,169.31/514,029.82 = 275,334.08/x
  3. Step 3: Cross multiply
    343,169.31x = 514,029.82 × 275,334.08
  4. Step 4: Simplify right side
    343,169.31x = 141,529,927,582.27
  5. Step 5: Solve for x
    x = 141,529,927,582.27/343,169.31
  6. Step 6: Final answer
    x = 412,420.12

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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.