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Finding the Fourth Proportional to 276,117.36, 380,101.68 and 204,362.16

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Solution

The fourth proportional to 276,117.36, 380,101.68 and 204,362.16 is: 281,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,117.36 : 380,101.68 = 204,362.16 : x
  2. Step 2: Convert to fraction form
    276,117.36/380,101.68 = 204,362.16/x
  3. Step 3: Cross multiply
    276,117.36x = 380,101.68 × 204,362.16
  4. Step 4: Simplify right side
    276,117.36x = 77,678,400,344.43
  5. Step 5: Solve for x
    x = 77,678,400,344.43/276,117.36
  6. Step 6: Final answer
    x = 281,323.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.