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Finding the Fourth Proportional to 410,948.64, 616,482.90 and 126,662.94

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Solution

The fourth proportional to 410,948.64, 616,482.90 and 126,662.94 is: 190,012.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,948.64 : 616,482.90 = 126,662.94 : x
  2. Step 2: Convert to fraction form
    410,948.64/616,482.90 = 126,662.94/x
  3. Step 3: Cross multiply
    410,948.64x = 616,482.90 × 126,662.94
  4. Step 4: Simplify right side
    410,948.64x = 78,085,536,573.73
  5. Step 5: Solve for x
    x = 78,085,536,573.73/410,948.64
  6. Step 6: Final answer
    x = 190,012.88

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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.