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Finding the Fourth Proportional to 368,094.48, 508,001.05 and 204,781.74

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Solution

The fourth proportional to 368,094.48, 508,001.05 and 204,781.74 is: 282,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,094.48 : 508,001.05 = 204,781.74 : x
  2. Step 2: Convert to fraction form
    368,094.48/508,001.05 = 204,781.74/x
  3. Step 3: Cross multiply
    368,094.48x = 508,001.05 × 204,781.74
  4. Step 4: Simplify right side
    368,094.48x = 104,029,338,940.83
  5. Step 5: Solve for x
    x = 104,029,338,940.83/368,094.48
  6. Step 6: Final answer
    x = 282,615.86

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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.