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Finding the Fourth Proportional to 442,936.24, 663,995.04 and 176,632

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Solution

The fourth proportional to 442,936.24, 663,995.04 and 176,632 is: 264,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,936.24 : 663,995.04 = 176,632 : x
  2. Step 2: Convert to fraction form
    442,936.24/663,995.04 = 176,632/x
  3. Step 3: Cross multiply
    442,936.24x = 663,995.04 × 176,632
  4. Step 4: Simplify right side
    442,936.24x = 117,282,771,905.28
  5. Step 5: Solve for x
    x = 117,282,771,905.28/442,936.24
  6. Step 6: Final answer
    x = 264,784.77

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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.