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Finding the Fourth Proportional to 407,772.92, 562,728 and 226,484.84

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Solution

The fourth proportional to 407,772.92, 562,728 and 226,484.84 is: 312,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,772.92 : 562,728 = 226,484.84 : x
  2. Step 2: Convert to fraction form
    407,772.92/562,728 = 226,484.84/x
  3. Step 3: Cross multiply
    407,772.92x = 562,728 × 226,484.84
  4. Step 4: Simplify right side
    407,772.92x = 127,449,361,043.52
  5. Step 5: Solve for x
    x = 127,449,361,043.52/407,772.92
  6. Step 6: Final answer
    x = 312,549.84

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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.