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Finding the Fourth Proportional to 344,146.92, 474,954.83 and 208,214.25

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Solution

The fourth proportional to 344,146.92, 474,954.83 and 208,214.25 is: 287,355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,146.92 : 474,954.83 = 208,214.25 : x
  2. Step 2: Convert to fraction form
    344,146.92/474,954.83 = 208,214.25/x
  3. Step 3: Cross multiply
    344,146.92x = 474,954.83 × 208,214.25
  4. Step 4: Simplify right side
    344,146.92x = 98,892,363,712.33
  5. Step 5: Solve for x
    x = 98,892,363,712.33/344,146.92
  6. Step 6: Final answer
    x = 287,355.07

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1.5x scale

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.