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Finding the Fourth Proportional to 384,821.92, 577,308.48 and 118,537.12

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Solution

The fourth proportional to 384,821.92, 577,308.48 and 118,537.12 is: 177,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,821.92 : 577,308.48 = 118,537.12 : x
  2. Step 2: Convert to fraction form
    384,821.92/577,308.48 = 118,537.12/x
  3. Step 3: Cross multiply
    384,821.92x = 577,308.48 × 118,537.12
  4. Step 4: Simplify right side
    384,821.92x = 68,432,484,570.78
  5. Step 5: Solve for x
    x = 68,432,484,570.78/384,821.92
  6. Step 6: Final answer
    x = 177,828.97

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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.