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Finding the Fourth Proportional to 410,157.64, 565,933.04 and 235,694.14

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Solution

The fourth proportional to 410,157.64, 565,933.04 and 235,694.14 is: 325,209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,157.64 : 565,933.04 = 235,694.14 : x
  2. Step 2: Convert to fraction form
    410,157.64/565,933.04 = 235,694.14/x
  3. Step 3: Cross multiply
    410,157.64x = 565,933.04 × 235,694.14
  4. Step 4: Simplify right side
    410,157.64x = 133,387,101,160.39
  5. Step 5: Solve for x
    x = 133,387,101,160.39/410,157.64
  6. Step 6: Final answer
    x = 325,209.35

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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.