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Finding the Fourth Proportional to 713,343.15, 984,383.01 and 427,021.11

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Solution

The fourth proportional to 713,343.15, 984,383.01 and 427,021.11 is: 589,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,343.15 : 984,383.01 = 427,021.11 : x
  2. Step 2: Convert to fraction form
    713,343.15/984,383.01 = 427,021.11/x
  3. Step 3: Cross multiply
    713,343.15x = 984,383.01 × 427,021.11
  4. Step 4: Simplify right side
    713,343.15x = 420,352,325,595.34
  5. Step 5: Solve for x
    x = 420,352,325,595.34/713,343.15
  6. Step 6: Final answer
    x = 589,270.85

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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.