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Finding the Fourth Proportional to 390,490.73, 585,933.25 and 177,122.65

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Solution

The fourth proportional to 390,490.73, 585,933.25 and 177,122.65 is: 265,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,490.73 : 585,933.25 = 177,122.65 : x
  2. Step 2: Convert to fraction form
    390,490.73/585,933.25 = 177,122.65/x
  3. Step 3: Cross multiply
    390,490.73x = 585,933.25 × 177,122.65
  4. Step 4: Simplify right side
    390,490.73x = 103,782,051,870.75
  5. Step 5: Solve for x
    x = 103,782,051,870.75/390,490.73
  6. Step 6: Final answer
    x = 265,773.41

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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.