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Finding the Fourth Proportional to 410,336.40, 614,104.20 and 343,851.60

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Solution

The fourth proportional to 410,336.40, 614,104.20 and 343,851.60 is: 514,603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,336.40 : 614,104.20 = 343,851.60 : x
  2. Step 2: Convert to fraction form
    410,336.40/614,104.20 = 343,851.60/x
  3. Step 3: Cross multiply
    410,336.40x = 614,104.20 × 343,851.60
  4. Step 4: Simplify right side
    410,336.40x = 211,160,711,736.72
  5. Step 5: Solve for x
    x = 211,160,711,736.72/410,336.40
  6. Step 6: Final answer
    x = 514,603.90

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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.