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Finding the Fourth Proportional to 407,940.42, 562,941.68 and 226,663.58

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Solution

The fourth proportional to 407,940.42, 562,941.68 and 226,663.58 is: 312,786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,940.42 : 562,941.68 = 226,663.58 : x
  2. Step 2: Convert to fraction form
    407,940.42/562,941.68 = 226,663.58/x
  3. Step 3: Cross multiply
    407,940.42x = 562,941.68 × 226,663.58
  4. Step 4: Simplify right side
    407,940.42x = 127,598,376,520.01
  5. Step 5: Solve for x
    x = 127,598,376,520.01/407,940.42
  6. Step 6: Final answer
    x = 312,786.79

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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.