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Finding the Fourth Proportional to 308,794.20, 462,870.16 and 119,384.65

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Solution

The fourth proportional to 308,794.20, 462,870.16 and 119,384.65 is: 178,952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,794.20 : 462,870.16 = 119,384.65 : x
  2. Step 2: Convert to fraction form
    308,794.20/462,870.16 = 119,384.65/x
  3. Step 3: Cross multiply
    308,794.20x = 462,870.16 × 119,384.65
  4. Step 4: Simplify right side
    308,794.20x = 55,259,592,327.17
  5. Step 5: Solve for x
    x = 55,259,592,327.17/308,794.20
  6. Step 6: Final answer
    x = 178,952.82

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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.