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Finding the Fourth Proportional to 384,116.94, 576,153.63 and 117,876.78

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Solution

The fourth proportional to 384,116.94, 576,153.63 and 117,876.78 is: 176,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,116.94 : 576,153.63 = 117,876.78 : x
  2. Step 2: Convert to fraction form
    384,116.94/576,153.63 = 117,876.78/x
  3. Step 3: Cross multiply
    384,116.94x = 576,153.63 × 117,876.78
  4. Step 4: Simplify right side
    384,116.94x = 67,915,134,689.71
  5. Step 5: Solve for x
    x = 67,915,134,689.71/384,116.94
  6. Step 6: Final answer
    x = 176,808.49

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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.