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Finding the Fourth Proportional to 365,804.42, 504,829.71 and 204,649.86

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Solution

The fourth proportional to 365,804.42, 504,829.71 and 204,649.86 is: 282,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,804.42 : 504,829.71 = 204,649.86 : x
  2. Step 2: Convert to fraction form
    365,804.42/504,829.71 = 204,649.86/x
  3. Step 3: Cross multiply
    365,804.42x = 504,829.71 × 204,649.86
  4. Step 4: Simplify right side
    365,804.42x = 103,313,329,475.34
  5. Step 5: Solve for x
    x = 103,313,329,475.34/365,804.42
  6. Step 6: Final answer
    x = 282,427.78

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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.