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Finding the Fourth Proportional to 368,827.61, 508,997.75 and 205,483.97

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Solution

The fourth proportional to 368,827.61, 508,997.75 and 205,483.97 is: 283,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,827.61 : 508,997.75 = 205,483.97 : x
  2. Step 2: Convert to fraction form
    368,827.61/508,997.75 = 205,483.97/x
  3. Step 3: Cross multiply
    368,827.61x = 508,997.75 × 205,483.97
  4. Step 4: Simplify right side
    368,827.61x = 104,590,878,636.14
  5. Step 5: Solve for x
    x = 104,590,878,636.14/368,827.61
  6. Step 6: Final answer
    x = 283,576.60

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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.