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Finding the Fourth Proportional to 308,710.60, 462,806.70 and 160,966.60

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Solution

The fourth proportional to 308,710.60, 462,806.70 and 160,966.60 is: 241,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,710.60 : 462,806.70 = 160,966.60 : x
  2. Step 2: Convert to fraction form
    308,710.60/462,806.70 = 160,966.60/x
  3. Step 3: Cross multiply
    308,710.60x = 462,806.70 × 160,966.60
  4. Step 4: Simplify right side
    308,710.60x = 74,496,420,956.22
  5. Step 5: Solve for x
    x = 74,496,420,956.22/308,710.60
  6. Step 6: Final answer
    x = 241,314.75

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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.