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Finding the Fourth Proportional to 340,931.20, 511,473.60 and 200,617.60

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Solution

The fourth proportional to 340,931.20, 511,473.60 and 200,617.60 is: 300,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,931.20 : 511,473.60 = 200,617.60 : x
  2. Step 2: Convert to fraction form
    340,931.20/511,473.60 = 200,617.60/x
  3. Step 3: Cross multiply
    340,931.20x = 511,473.60 × 200,617.60
  4. Step 4: Simplify right side
    340,931.20x = 102,610,606,095.36
  5. Step 5: Solve for x
    x = 102,610,606,095.36/340,931.20
  6. Step 6: Final answer
    x = 300,971.59

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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.