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Finding the Fourth Proportional to 341,196, 470,850.48 and 190,293.12

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Solution

The fourth proportional to 341,196, 470,850.48 and 190,293.12 is: 262,604.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,196 : 470,850.48 = 190,293.12 : x
  2. Step 2: Convert to fraction form
    341,196/470,850.48 = 190,293.12/x
  3. Step 3: Cross multiply
    341,196x = 470,850.48 × 190,293.12
  4. Step 4: Simplify right side
    341,196x = 89,599,606,892.70
  5. Step 5: Solve for x
    x = 89,599,606,892.70/341,196
  6. Step 6: Final answer
    x = 262,604.51

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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.