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Finding the Fourth Proportional to 405,924.29, 560,451.17 and 253,023.65

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Solution

The fourth proportional to 405,924.29, 560,451.17 and 253,023.65 is: 349,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,924.29 : 560,451.17 = 253,023.65 : x
  2. Step 2: Convert to fraction form
    405,924.29/560,451.17 = 253,023.65/x
  3. Step 3: Cross multiply
    405,924.29x = 560,451.17 × 253,023.65
  4. Step 4: Simplify right side
    405,924.29x = 141,807,399,415.05
  5. Step 5: Solve for x
    x = 141,807,399,415.05/405,924.29
  6. Step 6: Final answer
    x = 349,344.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.