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Finding the Fourth Proportional to 384,763.43, 577,117.78 and 118,496.18

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Solution

The fourth proportional to 384,763.43, 577,117.78 and 118,496.18 is: 177,735.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,763.43 : 577,117.78 = 118,496.18 : x
  2. Step 2: Convert to fraction form
    384,763.43/577,117.78 = 118,496.18/x
  3. Step 3: Cross multiply
    384,763.43x = 577,117.78 × 118,496.18
  4. Step 4: Simplify right side
    384,763.43x = 68,386,253,486.63
  5. Step 5: Solve for x
    x = 68,386,253,486.63/384,763.43
  6. Step 6: Final answer
    x = 177,735.84

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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.