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Finding the Fourth Proportional to 582,578.60, 873,896.70 and 302,642.60

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Solution

The fourth proportional to 582,578.60, 873,896.70 and 302,642.60 is: 453,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,578.60 : 873,896.70 = 302,642.60 : x
  2. Step 2: Convert to fraction form
    582,578.60/873,896.70 = 302,642.60/x
  3. Step 3: Cross multiply
    582,578.60x = 873,896.70 × 302,642.60
  4. Step 4: Simplify right side
    582,578.60x = 264,478,369,419.42
  5. Step 5: Solve for x
    x = 264,478,369,419.42/582,578.60
  6. Step 6: Final answer
    x = 453,978.86

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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.