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Finding the Fourth Proportional to 407,771.25, 562,724.34 and 228,923.25

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Solution

The fourth proportional to 407,771.25, 562,724.34 and 228,923.25 is: 315,914.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,771.25 : 562,724.34 = 228,923.25 : x
  2. Step 2: Convert to fraction form
    407,771.25/562,724.34 = 228,923.25/x
  3. Step 3: Cross multiply
    407,771.25x = 562,724.34 × 228,923.25
  4. Step 4: Simplify right side
    407,771.25x = 128,820,684,766.91
  5. Step 5: Solve for x
    x = 128,820,684,766.91/407,771.25
  6. Step 6: Final answer
    x = 315,914.09

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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.