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Finding the Fourth Proportional to 405,892.32, 560,288.40 and 363,376.96

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Solution

The fourth proportional to 405,892.32, 560,288.40 and 363,376.96 is: 501,600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,892.32 : 560,288.40 = 363,376.96 : x
  2. Step 2: Convert to fraction form
    405,892.32/560,288.40 = 363,376.96/x
  3. Step 3: Cross multiply
    405,892.32x = 560,288.40 × 363,376.96
  4. Step 4: Simplify right side
    405,892.32x = 203,595,895,515.26
  5. Step 5: Solve for x
    x = 203,595,895,515.26/405,892.32
  6. Step 6: Final answer
    x = 501,600.76

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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.