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Finding the Fourth Proportional to 410,086.40, 614,668.80 and 210,329.60

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Solution

The fourth proportional to 410,086.40, 614,668.80 and 210,329.60 is: 315,258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,086.40 : 614,668.80 = 210,329.60 : x
  2. Step 2: Convert to fraction form
    410,086.40/614,668.80 = 210,329.60/x
  3. Step 3: Cross multiply
    410,086.40x = 614,668.80 × 210,329.60
  4. Step 4: Simplify right side
    410,086.40x = 129,283,042,836.48
  5. Step 5: Solve for x
    x = 129,283,042,836.48/410,086.40
  6. Step 6: Final answer
    x = 315,258.06

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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.