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Finding the Fourth Proportional to 343,040.96, 514,611.24 and 106,402.68

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Solution

The fourth proportional to 343,040.96, 514,611.24 and 106,402.68 is: 159,619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,040.96 : 514,611.24 = 106,402.68 : x
  2. Step 2: Convert to fraction form
    343,040.96/514,611.24 = 106,402.68/x
  3. Step 3: Cross multiply
    343,040.96x = 514,611.24 × 106,402.68
  4. Step 4: Simplify right side
    343,040.96x = 54,756,015,094.12
  5. Step 5: Solve for x
    x = 54,756,015,094.12/343,040.96
  6. Step 6: Final answer
    x = 159,619.47

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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.