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Finding the Fourth Proportional to 410,682.40, 616,023.60 and 233,735.20

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Solution

The fourth proportional to 410,682.40, 616,023.60 and 233,735.20 is: 350,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,682.40 : 616,023.60 = 233,735.20 : x
  2. Step 2: Convert to fraction form
    410,682.40/616,023.60 = 233,735.20/x
  3. Step 3: Cross multiply
    410,682.40x = 616,023.60 × 233,735.20
  4. Step 4: Simplify right side
    410,682.40x = 143,986,399,350.72
  5. Step 5: Solve for x
    x = 143,986,399,350.72/410,682.40
  6. Step 6: Final answer
    x = 350,602.80

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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.