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Finding the Fourth Proportional to 405,436.66, 559,591.41 and 235,768.66

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Solution

The fourth proportional to 405,436.66, 559,591.41 and 235,768.66 is: 325,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,436.66 : 559,591.41 = 235,768.66 : x
  2. Step 2: Convert to fraction form
    405,436.66/559,591.41 = 235,768.66/x
  3. Step 3: Cross multiply
    405,436.66x = 559,591.41 × 235,768.66
  4. Step 4: Simplify right side
    405,436.66x = 131,934,116,883.21
  5. Step 5: Solve for x
    x = 131,934,116,883.21/405,436.66
  6. Step 6: Final answer
    x = 325,412.40

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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.