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Finding the Fourth Proportional to 384,216.96, 576,411.09 and 118,004.34

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Solution

The fourth proportional to 384,216.96, 576,411.09 and 118,004.34 is: 177,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,216.96 : 576,411.09 = 118,004.34 : x
  2. Step 2: Convert to fraction form
    384,216.96/576,411.09 = 118,004.34/x
  3. Step 3: Cross multiply
    384,216.96x = 576,411.09 × 118,004.34
  4. Step 4: Simplify right side
    384,216.96x = 68,019,010,244.13
  5. Step 5: Solve for x
    x = 68,019,010,244.13/384,216.96
  6. Step 6: Final answer
    x = 177,032.82

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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.