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Finding the Fourth Proportional to 343,209.40, 514,814.10 and 185,745.40

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Solution

The fourth proportional to 343,209.40, 514,814.10 and 185,745.40 is: 278,618.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,209.40 : 514,814.10 = 185,745.40 : x
  2. Step 2: Convert to fraction form
    343,209.40/514,814.10 = 185,745.40/x
  3. Step 3: Cross multiply
    343,209.40x = 514,814.10 × 185,745.40
  4. Step 4: Simplify right side
    343,209.40x = 95,624,350,930.14
  5. Step 5: Solve for x
    x = 95,624,350,930.14/343,209.40
  6. Step 6: Final answer
    x = 278,618.10

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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.