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Finding the Fourth Proportional to 422,271.84, 582,746.48 and 238,495.67

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Solution

The fourth proportional to 422,271.84, 582,746.48 and 238,495.67 is: 329,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,271.84 : 582,746.48 = 238,495.67 : x
  2. Step 2: Convert to fraction form
    422,271.84/582,746.48 = 238,495.67/x
  3. Step 3: Cross multiply
    422,271.84x = 582,746.48 × 238,495.67
  4. Step 4: Simplify right side
    422,271.84x = 138,982,508,081.53
  5. Step 5: Solve for x
    x = 138,982,508,081.53/422,271.84
  6. Step 6: Final answer
    x = 329,130.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.