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Finding the Fourth Proportional to 582,433.60, 873,679.20 and 302,497.60

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Solution

The fourth proportional to 582,433.60, 873,679.20 and 302,497.60 is: 453,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,433.60 : 873,679.20 = 302,497.60 : x
  2. Step 2: Convert to fraction form
    582,433.60/873,679.20 = 302,497.60/x
  3. Step 3: Cross multiply
    582,433.60x = 873,679.20 × 302,497.60
  4. Step 4: Simplify right side
    582,433.60x = 264,285,861,169.92
  5. Step 5: Solve for x
    x = 264,285,861,169.92/582,433.60
  6. Step 6: Final answer
    x = 453,761.36

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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.