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Finding the Fourth Proportional to 589,673.82, 883,181.68 and 412,969.69

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Solution

The fourth proportional to 589,673.82, 883,181.68 and 412,969.69 is: 618,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,673.82 : 883,181.68 = 412,969.69 : x
  2. Step 2: Convert to fraction form
    589,673.82/883,181.68 = 412,969.69/x
  3. Step 3: Cross multiply
    589,673.82x = 883,181.68 × 412,969.69
  4. Step 4: Simplify right side
    589,673.82x = 364,727,264,674.83
  5. Step 5: Solve for x
    x = 364,727,264,674.83/589,673.82
  6. Step 6: Final answer
    x = 618,523.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.