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Finding the Fourth Proportional to 407,770.75, 562,723.65 and 228,922.75

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Solution

The fourth proportional to 407,770.75, 562,723.65 and 228,922.75 is: 315,913.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,770.75 : 562,723.65 = 228,922.75 : x
  2. Step 2: Convert to fraction form
    407,770.75/562,723.65 = 228,922.75/x
  3. Step 3: Cross multiply
    407,770.75x = 562,723.65 × 228,922.75
  4. Step 4: Simplify right side
    407,770.75x = 128,820,245,448.04
  5. Step 5: Solve for x
    x = 128,820,245,448.04/407,770.75
  6. Step 6: Final answer
    x = 315,913.40

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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.