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Finding the Fourth Proportional to 407,935.56, 562,942.56 and 226,636.86

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Solution

The fourth proportional to 407,935.56, 562,942.56 and 226,636.86 is: 312,754.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,935.56 : 562,942.56 = 226,636.86 : x
  2. Step 2: Convert to fraction form
    407,935.56/562,942.56 = 226,636.86/x
  3. Step 3: Cross multiply
    407,935.56x = 562,942.56 × 226,636.86
  4. Step 4: Simplify right side
    407,935.56x = 127,583,534,158.76
  5. Step 5: Solve for x
    x = 127,583,534,158.76/407,935.56
  6. Step 6: Final answer
    x = 312,754.14

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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.