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Finding the Fourth Proportional to 475,993.28, 713,017.92 and 265,743.20

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Solution

The fourth proportional to 475,993.28, 713,017.92 and 265,743.20 is: 398,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,993.28 : 713,017.92 = 265,743.20 : x
  2. Step 2: Convert to fraction form
    475,993.28/713,017.92 = 265,743.20/x
  3. Step 3: Cross multiply
    475,993.28x = 713,017.92 × 265,743.20
  4. Step 4: Simplify right side
    475,993.28x = 189,479,663,718.14
  5. Step 5: Solve for x
    x = 189,479,663,718.14/475,993.28
  6. Step 6: Final answer
    x = 398,072.14

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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.