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Finding the Fourth Proportional to 368,328.86, 508,290.14 and 204,982.63

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Solution

The fourth proportional to 368,328.86, 508,290.14 and 204,982.63 is: 282,873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,328.86 : 508,290.14 = 204,982.63 : x
  2. Step 2: Convert to fraction form
    368,328.86/508,290.14 = 204,982.63/x
  3. Step 3: Cross multiply
    368,328.86x = 508,290.14 × 204,982.63
  4. Step 4: Simplify right side
    368,328.86x = 104,190,649,700.27
  5. Step 5: Solve for x
    x = 104,190,649,700.27/368,328.86
  6. Step 6: Final answer
    x = 282,873.98

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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.