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Finding the Fourth Proportional to 343,941.40, 515,739.30 and 156,741.40

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Solution

The fourth proportional to 343,941.40, 515,739.30 and 156,741.40 is: 235,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,941.40 : 515,739.30 = 156,741.40 : x
  2. Step 2: Convert to fraction form
    343,941.40/515,739.30 = 156,741.40/x
  3. Step 3: Cross multiply
    343,941.40x = 515,739.30 × 156,741.40
  4. Step 4: Simplify right side
    343,941.40x = 80,837,699,917.02
  5. Step 5: Solve for x
    x = 80,837,699,917.02/343,941.40
  6. Step 6: Final answer
    x = 235,033.35

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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.