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Finding the Fourth Proportional to 354,614.40, 531,921.60 and 340,617.60

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Solution

The fourth proportional to 354,614.40, 531,921.60 and 340,617.60 is: 510,926.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,614.40 : 531,921.60 = 340,617.60 : x
  2. Step 2: Convert to fraction form
    354,614.40/531,921.60 = 340,617.60/x
  3. Step 3: Cross multiply
    354,614.40x = 531,921.60 × 340,617.60
  4. Step 4: Simplify right side
    354,614.40x = 181,181,858,780.16
  5. Step 5: Solve for x
    x = 181,181,858,780.16/354,614.40
  6. Step 6: Final answer
    x = 510,926.40

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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.