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Finding the Fourth Proportional to 410,338.40, 614,107.20 and 343,853.60

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Solution

The fourth proportional to 410,338.40, 614,107.20 and 343,853.60 is: 514,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,338.40 : 614,107.20 = 343,853.60 : x
  2. Step 2: Convert to fraction form
    410,338.40/614,107.20 = 343,853.60/x
  3. Step 3: Cross multiply
    410,338.40x = 614,107.20 × 343,853.60
  4. Step 4: Simplify right side
    410,338.40x = 211,162,971,505.92
  5. Step 5: Solve for x
    x = 211,162,971,505.92/410,338.40
  6. Step 6: Final answer
    x = 514,606.90

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1.5x scale

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.