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Finding the Fourth Proportional to 409,913.14, 610,794.81 and 365,196.30

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Solution

The fourth proportional to 409,913.14, 610,794.81 and 365,196.30 is: 544,164.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,913.14 : 610,794.81 = 365,196.30 : x
  2. Step 2: Convert to fraction form
    409,913.14/610,794.81 = 365,196.30/x
  3. Step 3: Cross multiply
    409,913.14x = 610,794.81 × 365,196.30
  4. Step 4: Simplify right side
    409,913.14x = 223,060,002,845.22
  5. Step 5: Solve for x
    x = 223,060,002,845.22/409,913.14
  6. Step 6: Final answer
    x = 544,164.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.