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Finding the Fourth Proportional to 341,291.34, 470,949.39 and 190,398.06

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Solution

The fourth proportional to 341,291.34, 470,949.39 and 190,398.06 is: 262,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,291.34 : 470,949.39 = 190,398.06 : x
  2. Step 2: Convert to fraction form
    341,291.34/470,949.39 = 190,398.06/x
  3. Step 3: Cross multiply
    341,291.34x = 470,949.39 × 190,398.06
  4. Step 4: Simplify right side
    341,291.34x = 89,667,850,214.18
  5. Step 5: Solve for x
    x = 89,667,850,214.18/341,291.34
  6. Step 6: Final answer
    x = 262,731.10

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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.