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Finding the Fourth Proportional to 308,709.60, 462,805.20 and 160,965.60

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Solution

The fourth proportional to 308,709.60, 462,805.20 and 160,965.60 is: 241,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,709.60 : 462,805.20 = 160,965.60 : x
  2. Step 2: Convert to fraction form
    308,709.60/462,805.20 = 160,965.60/x
  3. Step 3: Cross multiply
    308,709.60x = 462,805.20 × 160,965.60
  4. Step 4: Simplify right side
    308,709.60x = 74,495,716,701.12
  5. Step 5: Solve for x
    x = 74,495,716,701.12/308,709.60
  6. Step 6: Final answer
    x = 241,313.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.