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Finding the Fourth Proportional to 646,416, 969,729.04 and 191,053.44

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Solution

The fourth proportional to 646,416, 969,729.04 and 191,053.44 is: 286,611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,416 : 969,729.04 = 191,053.44 : x
  2. Step 2: Convert to fraction form
    646,416/969,729.04 = 191,053.44/x
  3. Step 3: Cross multiply
    646,416x = 969,729.04 × 191,053.44
  4. Step 4: Simplify right side
    646,416x = 185,270,068,959.90
  5. Step 5: Solve for x
    x = 185,270,068,959.90/646,416
  6. Step 6: Final answer
    x = 286,611.21

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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.