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Finding the Fourth Proportional to 720,416.73, 994,148.24 and 414,540.41

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Solution

The fourth proportional to 720,416.73, 994,148.24 and 414,540.41 is: 572,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,416.73 : 994,148.24 = 414,540.41 : x
  2. Step 2: Convert to fraction form
    720,416.73/994,148.24 = 414,540.41/x
  3. Step 3: Cross multiply
    720,416.73x = 994,148.24 × 414,540.41
  4. Step 4: Simplify right side
    720,416.73x = 412,114,619,423.05
  5. Step 5: Solve for x
    x = 412,114,619,423.05/720,416.73
  6. Step 6: Final answer
    x = 572,050.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.