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Finding the Fourth Proportional to 368,093.48, 507,999.67 and 204,780.74

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Solution

The fourth proportional to 368,093.48, 507,999.67 and 204,780.74 is: 282,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,093.48 : 507,999.67 = 204,780.74 : x
  2. Step 2: Convert to fraction form
    368,093.48/507,999.67 = 204,780.74/x
  3. Step 3: Cross multiply
    368,093.48x = 507,999.67 × 204,780.74
  4. Step 4: Simplify right side
    368,093.48x = 104,028,549,100.40
  5. Step 5: Solve for x
    x = 104,028,549,100.40/368,093.48
  6. Step 6: Final answer
    x = 282,614.49

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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.