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Finding the Fourth Proportional to 405,411.56, 559,516.62 and 235,645.72

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Solution

The fourth proportional to 405,411.56, 559,516.62 and 235,645.72 is: 325,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,411.56 : 559,516.62 = 235,645.72 : x
  2. Step 2: Convert to fraction form
    405,411.56/559,516.62 = 235,645.72/x
  3. Step 3: Cross multiply
    405,411.56x = 559,516.62 × 235,645.72
  4. Step 4: Simplify right side
    405,411.56x = 131,847,696,771.87
  5. Step 5: Solve for x
    x = 131,847,696,771.87/405,411.56
  6. Step 6: Final answer
    x = 325,219.38

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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.