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Finding the Fourth Proportional to 348,449.90, 480,802.56 and 205,238.46

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Solution

The fourth proportional to 348,449.90, 480,802.56 and 205,238.46 is: 283,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,449.90 : 480,802.56 = 205,238.46 : x
  2. Step 2: Convert to fraction form
    348,449.90/480,802.56 = 205,238.46/x
  3. Step 3: Cross multiply
    348,449.90x = 480,802.56 × 205,238.46
  4. Step 4: Simplify right side
    348,449.90x = 98,679,176,978.46
  5. Step 5: Solve for x
    x = 98,679,176,978.46/348,449.90
  6. Step 6: Final answer
    x = 283,194.74

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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.