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Finding the Fourth Proportional to 335,282.64, 462,695.54 and 182,323.86

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Solution

The fourth proportional to 335,282.64, 462,695.54 and 182,323.86 is: 251,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,282.64 : 462,695.54 = 182,323.86 : x
  2. Step 2: Convert to fraction form
    335,282.64/462,695.54 = 182,323.86/x
  3. Step 3: Cross multiply
    335,282.64x = 462,695.54 × 182,323.86
  4. Step 4: Simplify right side
    335,282.64x = 84,360,437,839.09
  5. Step 5: Solve for x
    x = 84,360,437,839.09/335,282.64
  6. Step 6: Final answer
    x = 251,609.92

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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.