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Finding the Fourth Proportional to 340,721.66, 470,196.02 and 185,671.90

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Solution

The fourth proportional to 340,721.66, 470,196.02 and 185,671.90 is: 256,227.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,721.66 : 470,196.02 = 185,671.90 : x
  2. Step 2: Convert to fraction form
    340,721.66/470,196.02 = 185,671.90/x
  3. Step 3: Cross multiply
    340,721.66x = 470,196.02 × 185,671.90
  4. Step 4: Simplify right side
    340,721.66x = 87,302,188,405.84
  5. Step 5: Solve for x
    x = 87,302,188,405.84/340,721.66
  6. Step 6: Final answer
    x = 256,227.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.