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Finding the Fourth Proportional to 390,103.30, 584,170.80 and 311,371.30

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Solution

The fourth proportional to 390,103.30, 584,170.80 and 311,371.30 is: 466,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,103.30 : 584,170.80 = 311,371.30 : x
  2. Step 2: Convert to fraction form
    390,103.30/584,170.80 = 311,371.30/x
  3. Step 3: Cross multiply
    390,103.30x = 584,170.80 × 311,371.30
  4. Step 4: Simplify right side
    390,103.30x = 181,894,021,418.04
  5. Step 5: Solve for x
    x = 181,894,021,418.04/390,103.30
  6. Step 6: Final answer
    x = 466,271.42

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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.