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Finding the Fourth Proportional to 368,828.61, 508,999.13 and 205,484.97

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Solution

The fourth proportional to 368,828.61, 508,999.13 and 205,484.97 is: 283,577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,828.61 : 508,999.13 = 205,484.97 : x
  2. Step 2: Convert to fraction form
    368,828.61/508,999.13 = 205,484.97/x
  3. Step 3: Cross multiply
    368,828.61x = 508,999.13 × 205,484.97
  4. Step 4: Simplify right side
    368,828.61x = 104,591,670,958.08
  5. Step 5: Solve for x
    x = 104,591,670,958.08/368,828.61
  6. Step 6: Final answer
    x = 283,577.98

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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.