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Finding the Fourth Proportional to 410,683.40, 616,025.10 and 233,736.20

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Solution

The fourth proportional to 410,683.40, 616,025.10 and 233,736.20 is: 350,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,683.40 : 616,025.10 = 233,736.20 : x
  2. Step 2: Convert to fraction form
    410,683.40/616,025.10 = 233,736.20/x
  3. Step 3: Cross multiply
    410,683.40x = 616,025.10 × 233,736.20
  4. Step 4: Simplify right side
    410,683.40x = 143,987,365,978.62
  5. Step 5: Solve for x
    x = 143,987,365,978.62/410,683.40
  6. Step 6: Final answer
    x = 350,604.30

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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.