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Finding the Fourth Proportional to 340,731.06, 470,203.21 and 185,684.40

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Solution

The fourth proportional to 340,731.06, 470,203.21 and 185,684.40 is: 256,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,731.06 : 470,203.21 = 185,684.40 : x
  2. Step 2: Convert to fraction form
    340,731.06/470,203.21 = 185,684.40/x
  3. Step 3: Cross multiply
    340,731.06x = 470,203.21 × 185,684.40
  4. Step 4: Simplify right side
    340,731.06x = 87,309,401,159.03
  5. Step 5: Solve for x
    x = 87,309,401,159.03/340,731.06
  6. Step 6: Final answer
    x = 256,241.39

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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.