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Finding the Fourth Proportional to 344,344.50, 516,434.67 and 144,668.70

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Solution

The fourth proportional to 344,344.50, 516,434.67 and 144,668.70 is: 216,968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,344.50 : 516,434.67 = 144,668.70 : x
  2. Step 2: Convert to fraction form
    344,344.50/516,434.67 = 144,668.70/x
  3. Step 3: Cross multiply
    344,344.50x = 516,434.67 × 144,668.70
  4. Step 4: Simplify right side
    344,344.50x = 74,711,932,343.83
  5. Step 5: Solve for x
    x = 74,711,932,343.83/344,344.50
  6. Step 6: Final answer
    x = 216,968.57

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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.