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Finding the Fourth Proportional to 318,649.50, 477,974.25 and 97,033.50

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Solution

The fourth proportional to 318,649.50, 477,974.25 and 97,033.50 is: 145,550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,649.50 : 477,974.25 = 97,033.50 : x
  2. Step 2: Convert to fraction form
    318,649.50/477,974.25 = 97,033.50/x
  3. Step 3: Cross multiply
    318,649.50x = 477,974.25 × 97,033.50
  4. Step 4: Simplify right side
    318,649.50x = 46,379,514,387.38
  5. Step 5: Solve for x
    x = 46,379,514,387.38/318,649.50
  6. Step 6: Final answer
    x = 145,550.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.