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Finding the Fourth Proportional to 407,667.64, 562,562.43 and 226,391.08

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Solution

The fourth proportional to 407,667.64, 562,562.43 and 226,391.08 is: 312,409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,667.64 : 562,562.43 = 226,391.08 : x
  2. Step 2: Convert to fraction form
    407,667.64/562,562.43 = 226,391.08/x
  3. Step 3: Cross multiply
    407,667.64x = 562,562.43 × 226,391.08
  4. Step 4: Simplify right side
    407,667.64x = 127,359,116,095.12
  5. Step 5: Solve for x
    x = 127,359,116,095.12/407,667.64
  6. Step 6: Final answer
    x = 312,409.19

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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.