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Finding the Fourth Proportional to 200,586.54, 300,926.40 and 58,435.20

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Solution

The fourth proportional to 200,586.54, 300,926.40 and 58,435.20 is: 87,666.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,586.54 : 300,926.40 = 58,435.20 : x
  2. Step 2: Convert to fraction form
    200,586.54/300,926.40 = 58,435.20/x
  3. Step 3: Cross multiply
    200,586.54x = 300,926.40 × 58,435.20
  4. Step 4: Simplify right side
    200,586.54x = 17,584,694,369.28
  5. Step 5: Solve for x
    x = 17,584,694,369.28/200,586.54
  6. Step 6: Final answer
    x = 87,666.37

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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.