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Finding the Fourth Proportional to 348,177.84, 480,449.25 and 204,929.34

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Solution

The fourth proportional to 348,177.84, 480,449.25 and 204,929.34 is: 282,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,177.84 : 480,449.25 = 204,929.34 : x
  2. Step 2: Convert to fraction form
    348,177.84/480,449.25 = 204,929.34/x
  3. Step 3: Cross multiply
    348,177.84x = 480,449.25 × 204,929.34
  4. Step 4: Simplify right side
    348,177.84x = 98,458,147,706.00
  5. Step 5: Solve for x
    x = 98,458,147,706.00/348,177.84
  6. Step 6: Final answer
    x = 282,781.20

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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.