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Finding the Fourth Proportional to 335,423.25, 462,892.50 and 182,470.05

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Solution

The fourth proportional to 335,423.25, 462,892.50 and 182,470.05 is: 251,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,423.25 : 462,892.50 = 182,470.05 : x
  2. Step 2: Convert to fraction form
    335,423.25/462,892.50 = 182,470.05/x
  3. Step 3: Cross multiply
    335,423.25x = 462,892.50 × 182,470.05
  4. Step 4: Simplify right side
    335,423.25x = 84,464,017,619.63
  5. Step 5: Solve for x
    x = 84,464,017,619.63/335,423.25
  6. Step 6: Final answer
    x = 251,813.25

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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.