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Finding the Fourth Proportional to 348,449.52, 480,802.05 and 205,238.08

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Solution

The fourth proportional to 348,449.52, 480,802.05 and 205,238.08 is: 283,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,449.52 : 480,802.05 = 205,238.08 : x
  2. Step 2: Convert to fraction form
    348,449.52/480,802.05 = 205,238.08/x
  3. Step 3: Cross multiply
    348,449.52x = 480,802.05 × 205,238.08
  4. Step 4: Simplify right side
    348,449.52x = 98,678,888,400.06
  5. Step 5: Solve for x
    x = 98,678,888,400.06/348,449.52
  6. Step 6: Final answer
    x = 283,194.22

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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.