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Finding the Fourth Proportional to 344,346.94, 516,224.55 and 119,678.18

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Solution

The fourth proportional to 344,346.94, 516,224.55 and 119,678.18 is: 179,414.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,346.94 : 516,224.55 = 119,678.18 : x
  2. Step 2: Convert to fraction form
    344,346.94/516,224.55 = 119,678.18/x
  3. Step 3: Cross multiply
    344,346.94x = 516,224.55 × 119,678.18
  4. Step 4: Simplify right side
    344,346.94x = 61,780,814,615.32
  5. Step 5: Solve for x
    x = 61,780,814,615.32/344,346.94
  6. Step 6: Final answer
    x = 179,414.44

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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.