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Finding the Fourth Proportional to 582,477.42, 873,766.63 and 177,760.75

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Solution

The fourth proportional to 582,477.42, 873,766.63 and 177,760.75 is: 266,656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,477.42 : 873,766.63 = 177,760.75 : x
  2. Step 2: Convert to fraction form
    582,477.42/873,766.63 = 177,760.75/x
  3. Step 3: Cross multiply
    582,477.42x = 873,766.63 × 177,760.75
  4. Step 4: Simplify right side
    582,477.42x = 155,321,411,473.77
  5. Step 5: Solve for x
    x = 155,321,411,473.77/582,477.42
  6. Step 6: Final answer
    x = 266,656.54

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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.