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Finding the Fourth Proportional to 410,364.40, 614,146.20 and 343,879.60

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Solution

The fourth proportional to 410,364.40, 614,146.20 and 343,879.60 is: 514,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,364.40 : 614,146.20 = 343,879.60 : x
  2. Step 2: Convert to fraction form
    410,364.40/614,146.20 = 343,879.60/x
  3. Step 3: Cross multiply
    410,364.40x = 614,146.20 × 343,879.60
  4. Step 4: Simplify right side
    410,364.40x = 211,192,349,597.52
  5. Step 5: Solve for x
    x = 211,192,349,597.52/410,364.40
  6. Step 6: Final answer
    x = 514,645.88

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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.