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Finding the Fourth Proportional to 343,293.67, 514,814.10 and 118,596.43

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Solution

The fourth proportional to 343,293.67, 514,814.10 and 118,596.43 is: 177,850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,293.67 : 514,814.10 = 118,596.43 : x
  2. Step 2: Convert to fraction form
    343,293.67/514,814.10 = 118,596.43/x
  3. Step 3: Cross multiply
    343,293.67x = 514,814.10 × 118,596.43
  4. Step 4: Simplify right side
    343,293.67x = 61,055,114,373.66
  5. Step 5: Solve for x
    x = 61,055,114,373.66/343,293.67
  6. Step 6: Final answer
    x = 177,850.98

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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.