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Finding the Fourth Proportional to 405,438.66, 559,594.17 and 235,770.66

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Solution

The fourth proportional to 405,438.66, 559,594.17 and 235,770.66 is: 325,415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,438.66 : 559,594.17 = 235,770.66 : x
  2. Step 2: Convert to fraction form
    405,438.66/559,594.17 = 235,770.66/x
  3. Step 3: Cross multiply
    405,438.66x = 559,594.17 × 235,770.66
  4. Step 4: Simplify right side
    405,438.66x = 131,935,886,793.05
  5. Step 5: Solve for x
    x = 131,935,886,793.05/405,438.66
  6. Step 6: Final answer
    x = 325,415.16

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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.