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Finding the Fourth Proportional to 343,377.12, 514,990.56 and 174,718.56

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Solution

The fourth proportional to 343,377.12, 514,990.56 and 174,718.56 is: 262,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,377.12 : 514,990.56 = 174,718.56 : x
  2. Step 2: Convert to fraction form
    343,377.12/514,990.56 = 174,718.56/x
  3. Step 3: Cross multiply
    343,377.12x = 514,990.56 × 174,718.56
  4. Step 4: Simplify right side
    343,377.12x = 89,978,409,056.79
  5. Step 5: Solve for x
    x = 89,978,409,056.79/343,377.12
  6. Step 6: Final answer
    x = 262,039.62

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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.