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Finding the Fourth Proportional to 409,414.20, 614,121.30 and 249,325.80

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Solution

The fourth proportional to 409,414.20, 614,121.30 and 249,325.80 is: 373,988.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,414.20 : 614,121.30 = 249,325.80 : x
  2. Step 2: Convert to fraction form
    409,414.20/614,121.30 = 249,325.80/x
  3. Step 3: Cross multiply
    409,414.20x = 614,121.30 × 249,325.80
  4. Step 4: Simplify right side
    409,414.20x = 153,116,284,419.54
  5. Step 5: Solve for x
    x = 153,116,284,419.54/409,414.20
  6. Step 6: Final answer
    x = 373,988.70

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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.