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Finding the Fourth Proportional to 586,842.84, 880,264.26 and 166,122.36

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Solution

The fourth proportional to 586,842.84, 880,264.26 and 166,122.36 is: 249,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,842.84 : 880,264.26 = 166,122.36 : x
  2. Step 2: Convert to fraction form
    586,842.84/880,264.26 = 166,122.36/x
  3. Step 3: Cross multiply
    586,842.84x = 880,264.26 × 166,122.36
  4. Step 4: Simplify right side
    586,842.84x = 146,231,576,294.85
  5. Step 5: Solve for x
    x = 146,231,576,294.85/586,842.84
  6. Step 6: Final answer
    x = 249,183.54

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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.