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Finding the Fourth Proportional to 442,369.08, 610,469.64 and 241,165.08

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Solution

The fourth proportional to 442,369.08, 610,469.64 and 241,165.08 is: 332,807.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,369.08 : 610,469.64 = 241,165.08 : x
  2. Step 2: Convert to fraction form
    442,369.08/610,469.64 = 241,165.08/x
  3. Step 3: Cross multiply
    442,369.08x = 610,469.64 × 241,165.08
  4. Step 4: Simplify right side
    442,369.08x = 147,223,959,568.17
  5. Step 5: Solve for x
    x = 147,223,959,568.17/442,369.08
  6. Step 6: Final answer
    x = 332,807.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.