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Finding the Fourth Proportional to 285,322.64, 393,677.62 and 168,977.37

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Solution

The fourth proportional to 285,322.64, 393,677.62 and 168,977.37 is: 233,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,322.64 : 393,677.62 = 168,977.37 : x
  2. Step 2: Convert to fraction form
    285,322.64/393,677.62 = 168,977.37/x
  3. Step 3: Cross multiply
    285,322.64x = 393,677.62 × 168,977.37
  4. Step 4: Simplify right side
    285,322.64x = 66,522,609,909.31
  5. Step 5: Solve for x
    x = 66,522,609,909.31/285,322.64
  6. Step 6: Final answer
    x = 233,148.73

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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.