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Finding the Fourth Proportional to 384,653.80, 577,043.40 and 118,414.36

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Solution

The fourth proportional to 384,653.80, 577,043.40 and 118,414.36 is: 177,640.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,653.80 : 577,043.40 = 118,414.36 : x
  2. Step 2: Convert to fraction form
    384,653.80/577,043.40 = 118,414.36/x
  3. Step 3: Cross multiply
    384,653.80x = 577,043.40 × 118,414.36
  4. Step 4: Simplify right side
    384,653.80x = 68,330,224,903.22
  5. Step 5: Solve for x
    x = 68,330,224,903.22/384,653.80
  6. Step 6: Final answer
    x = 177,640.84

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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.