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Finding the Fourth Proportional to 471,088.41, 649,825.23 and 296,380.82

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Solution

The fourth proportional to 471,088.41, 649,825.23 and 296,380.82 is: 408,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,088.41 : 649,825.23 = 296,380.82 : x
  2. Step 2: Convert to fraction form
    471,088.41/649,825.23 = 296,380.82/x
  3. Step 3: Cross multiply
    471,088.41x = 649,825.23 × 296,380.82
  4. Step 4: Simplify right side
    471,088.41x = 192,595,737,260.08
  5. Step 5: Solve for x
    x = 192,595,737,260.08/471,088.41
  6. Step 6: Final answer
    x = 408,831.41

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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.