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Finding the Fourth Proportional to 384,933.48, 577,363 and 118,622.48

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Solution

The fourth proportional to 384,933.48, 577,363 and 118,622.48 is: 177,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,933.48 : 577,363 = 118,622.48 : x
  2. Step 2: Convert to fraction form
    384,933.48/577,363 = 118,622.48/x
  3. Step 3: Cross multiply
    384,933.48x = 577,363 × 118,622.48
  4. Step 4: Simplify right side
    384,933.48x = 68,488,230,920.24
  5. Step 5: Solve for x
    x = 68,488,230,920.24/384,933.48
  6. Step 6: Final answer
    x = 177,922.25

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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.