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Finding the Fourth Proportional to 368,096.48, 508,003.81 and 204,783.74

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Solution

The fourth proportional to 368,096.48, 508,003.81 and 204,783.74 is: 282,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,096.48 : 508,003.81 = 204,783.74 : x
  2. Step 2: Convert to fraction form
    368,096.48/508,003.81 = 204,783.74/x
  3. Step 3: Cross multiply
    368,096.48x = 508,003.81 × 204,783.74
  4. Step 4: Simplify right side
    368,096.48x = 104,030,920,146.05
  5. Step 5: Solve for x
    x = 104,030,920,146.05/368,096.48
  6. Step 6: Final answer
    x = 282,618.62

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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.