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Finding the Fourth Proportional to 308,338.40, 462,507.60 and 291,231.20

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Solution

The fourth proportional to 308,338.40, 462,507.60 and 291,231.20 is: 436,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,338.40 : 462,507.60 = 291,231.20 : x
  2. Step 2: Convert to fraction form
    308,338.40/462,507.60 = 291,231.20/x
  3. Step 3: Cross multiply
    308,338.40x = 462,507.60 × 291,231.20
  4. Step 4: Simplify right side
    308,338.40x = 134,696,643,357.12
  5. Step 5: Solve for x
    x = 134,696,643,357.12/308,338.40
  6. Step 6: Final answer
    x = 436,846.80

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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.