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Finding the Fourth Proportional to 384,165.38, 576,333.73 and 117,952.81

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Solution

The fourth proportional to 384,165.38, 576,333.73 and 117,952.81 is: 176,955.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,165.38 : 576,333.73 = 117,952.81 : x
  2. Step 2: Convert to fraction form
    384,165.38/576,333.73 = 117,952.81/x
  3. Step 3: Cross multiply
    384,165.38x = 576,333.73 × 117,952.81
  4. Step 4: Simplify right side
    384,165.38x = 67,980,181,657.89
  5. Step 5: Solve for x
    x = 67,980,181,657.89/384,165.38
  6. Step 6: Final answer
    x = 176,955.51

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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.