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Finding the Fourth Proportional to 315,649.40, 435,753.32 and 194,857.30

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Solution

The fourth proportional to 315,649.40, 435,753.32 and 194,857.30 is: 269,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,649.40 : 435,753.32 = 194,857.30 : x
  2. Step 2: Convert to fraction form
    315,649.40/435,753.32 = 194,857.30/x
  3. Step 3: Cross multiply
    315,649.40x = 435,753.32 × 194,857.30
  4. Step 4: Simplify right side
    315,649.40x = 84,909,715,401.24
  5. Step 5: Solve for x
    x = 84,909,715,401.24/315,649.40
  6. Step 6: Final answer
    x = 269,000.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.