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Finding the Fourth Proportional to 698,189.09, 963,501.84 and 396,383.09

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Solution

The fourth proportional to 698,189.09, 963,501.84 and 396,383.09 is: 547,009.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,189.09 : 963,501.84 = 396,383.09 : x
  2. Step 2: Convert to fraction form
    698,189.09/963,501.84 = 396,383.09/x
  3. Step 3: Cross multiply
    698,189.09x = 963,501.84 × 396,383.09
  4. Step 4: Simplify right side
    698,189.09x = 381,915,831,742.38
  5. Step 5: Solve for x
    x = 381,915,831,742.38/698,189.09
  6. Step 6: Final answer
    x = 547,009.17

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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.