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Finding the Fourth Proportional to 384,041.71, 576,011.31 and 114,164.79

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Solution

The fourth proportional to 384,041.71, 576,011.31 and 114,164.79 is: 171,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,041.71 : 576,011.31 = 114,164.79 : x
  2. Step 2: Convert to fraction form
    384,041.71/576,011.31 = 114,164.79/x
  3. Step 3: Cross multiply
    384,041.71x = 576,011.31 × 114,164.79
  4. Step 4: Simplify right side
    384,041.71x = 65,760,210,243.77
  5. Step 5: Solve for x
    x = 65,760,210,243.77/384,041.71
  6. Step 6: Final answer
    x = 171,231.95

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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.