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Finding the Fourth Proportional to 475,885.24, 713,601.87 and 276,266.95

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Solution

The fourth proportional to 475,885.24, 713,601.87 and 276,266.95 is: 414,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,885.24 : 713,601.87 = 276,266.95 : x
  2. Step 2: Convert to fraction form
    475,885.24/713,601.87 = 276,266.95/x
  3. Step 3: Cross multiply
    475,885.24x = 713,601.87 × 276,266.95
  4. Step 4: Simplify right side
    475,885.24x = 197,144,612,139.20
  5. Step 5: Solve for x
    x = 197,144,612,139.20/475,885.24
  6. Step 6: Final answer
    x = 414,269.23

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Why These Related Problems?

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